| 单词 | random variable |
| 例句 | Good institutions are not a random variable that could have popped up anywhere around the globe, in Denmark or in Somalia, with equal probability. Guns, Germs, and Steel: The Fates of Human Societies 1997-03-01T00:00:00Z The myriad factors affecting innovativeness make the historian’s task paradoxically easier, by converting societal variation in innovativeness into essentially a random variable. Guns, Germs, and Steel: The Fates of Human Societies 1997-03-01T00:00:00Z To solve the problem we create a new random variable, the difference between the sample means. Introductory Business Statistics 2017-11-29T00:00:00Z In words, clearly state what your random variable X¯ or P′ represents. High School Statistics 2020-03-27T00:00:00Z What symbol represents the random variable for this test? Introductory Statistics 2013-09-19T00:00:00Z Like the stock market, timing is a random variable. Fewer New Yorkers Getting the Benefit of Being Hired, and Fired, at a Young Age 2014-09-14T04:00:00Z This is always the case for a continuous random variable. Introductory Business Statistics 2017-11-29T00:00:00Z We could have asked the research question in a different way and had a binary random variable. Introductory Business Statistics 2017-11-29T00:00:00Z Define the random variable: X¯ d is the mean difference in the maximum lift per player. High School Statistics 2020-03-27T00:00:00Z In words, define the random variable for this test. Introductory Statistics 2013-09-19T00:00:00Z This is a continuous random variable and the parameter we are interested in is the mean. Introductory Business Statistics 2017-11-29T00:00:00Z To approach this problem we create a new random variable. Introductory Business Statistics 2017-11-29T00:00:00Z X– d is the random variable for the differences. Introductory Business Statistics 2017-11-29T00:00:00Z You may think of s as the random variable in this test. High School Statistics 2020-03-27T00:00:00Z X¯ d is the random variable for the differences. Introductory Statistics 2013-09-19T00:00:00Z This new random variable also has a distribution and, again, the Central Limit Theorem tells us that this new distribution is normally distributed, regardless of the underlying distributions of the original data. Introductory Business Statistics 2017-11-29T00:00:00Z Define the random variable: X– d mean difference in the maximum lift per player. Introductory Business Statistics 2017-11-29T00:00:00Z The error term is a random variable with a mean of zero and a constant variance. Introductory Business Statistics 2017-11-29T00:00:00Z Random variable: The sample standard deviation, s, is the random variable. High School Statistics 2020-03-27T00:00:00Z In symbols, what is the random variable of interest for this test? Introductory Statistics 2013-09-19T00:00:00Z A variable, or random variable, usually notated by capital letters such as X and Y, is a characteristic or measurement that can be determined for each member of a population. Introductory Business Statistics 2017-11-29T00:00:00Z Recall that discrete data are data that you can count, that is, the random variable can only take on whole number values. Introductory Business Statistics 2017-11-29T00:00:00Z Said another way, a discrete random variable has to be a whole, or counting, number only. Introductory Business Statistics 2017-11-29T00:00:00Z A random variable is a variable whose values are numerical outcome of a probability experiment. High School Statistics 2020-03-27T00:00:00Z In words, define the random variable of interest for this test. Introductory Statistics 2013-09-19T00:00:00Z The values of a random variable can vary with each repetition of an experiment, often called a trial. Introductory Business Statistics 2017-11-29T00:00:00Z There are, for example, 36 possible outcomes from throwing just two six-sided dice where the random variable is the sum of the number of spots on the up- facing sides. Introductory Business Statistics 2017-11-29T00:00:00Z The random variable, x , number of successes, is discrete. Introductory Business Statistics 2017-11-29T00:00:00Z We always describe a random variable in words and its values in numbers. High School Statistics 2020-03-27T00:00:00Z The random variable in the chi-square distribution is the sum of squares of df standard normal variables, which must be independent. Introductory Statistics 2013-09-19T00:00:00Z The random variable X in this case includes only the number of trials that were failures and does not count the trial that was a success in finding a person who had the disease. Introductory Business Statistics 2017-11-29T00:00:00Z The appropriate formula for this random variable is the second one presented above. Introductory Business Statistics 2017-11-29T00:00:00Z Figure 6.10 is a frequency distribution of a binomial process for the experiment of flipping three coins where the random variable is the number of heads. Introductory Business Statistics 2017-11-29T00:00:00Z Lowercase letters like x or y denote the value of a random variable. High School Statistics 2020-03-27T00:00:00Z Define the random variable and list its possible values. Introductory Statistics 2013-09-19T00:00:00Z In a way, the Poisson distribution can be thought of as a clever way to convert a continuous random variable, usually time, into a discrete random variable by breaking up time into discrete independent intervals. Introductory Business Statistics 2017-11-29T00:00:00Z This way of thinking about the Poisson helps us understand why it can be used to estimate the probability for the discrete random variable from the binomial distribution. Introductory Business Statistics 2017-11-29T00:00:00Z Central Limit Theorem Given a random variable with known mean μ and known standard deviation, σ, we are sampling with size n, and we are interested in two new RVs: the sample mean, X– . Introductory Business Statistics 2017-11-29T00:00:00Z The values of a discrete random variable are countable, which means the values are obtained by counting. High School Statistics 2020-03-27T00:00:00Z What is the random variable for this study? Introductory Statistics 2013-09-19T00:00:00Z If the random variable is discrete, such as for categorical data, then the parameter we wish to estimate is the population proportion. Introductory Business Statistics 2017-11-29T00:00:00Z Notice the parallel between this Table and Table 7.1 for the case where the random variable is continuous and we were developing the sampling distribution for means. Introductory Business Statistics 2017-11-29T00:00:00Z Numerical entries represent the probability that a standard normal random variable is between 0 and z where z = x − µ . Introductory Business Statistics 2017-11-29T00:00:00Z We counted the number of red balls, the number of heads, or the number of female children to get the corresponding random variable values. High School Statistics 2020-03-27T00:00:00Z The random variable X = the number of items from the group of interest. Introductory Statistics 2013-09-19T00:00:00Z We use the formula for a mean because the random variable is dollars spent and this is a continuous random variable. Introductory Business Statistics 2017-11-29T00:00:00Z First, the underlying distribution has a binary random variable and therefore is a binomial distribution. Introductory Business Statistics 2017-11-29T00:00:00Z Again with the Poisson distribution in Chapter 4, the graph in Example 4.14 used boxes to represent the probability of specific values of the random variable. Introductory Business Statistics 2017-11-29T00:00:00Z The random variable X¯ has a different z-score associated with it from that of the random variable X. The mean x¯ is the value of X¯ in one sample. High School Statistics 2020-03-27T00:00:00Z The random variable X = the number of occurrences in the interval of interest. Introductory Statistics 2013-09-19T00:00:00Z The random variable is the quantity of fluid placed in the bottles. Introductory Business Statistics 2017-11-29T00:00:00Z We also note that the random variable, what we are interested in, is students' grades, a continuous random variable. Introductory Business Statistics 2017-11-29T00:00:00Z Notice that the horizontal axis, the random variable x, purposefully did not mark the points along the axis. Introductory Business Statistics 2017-11-29T00:00:00Z X is a continuous random variable since time is measured. High School Statistics 2020-03-27T00:00:00Z The discrete random variable X takes on the values x = 0, 1, 2 …. Introductory Statistics 2013-09-19T00:00:00Z We know this because the underlying random variable is binary, default or not default. Introductory Business Statistics 2017-11-29T00:00:00Z In words, define the random variable for this test. Introductory Statistics 2013-09-19T00:00:00Z The probability of a specific value of a continuous random variable will be zero because the area under a point is zero. Introductory Business Statistics 2017-11-29T00:00:00Z The random variable is X¯ 1 – X¯ 2 . High School Statistics 2020-03-27T00:00:00Z Let the random variable X equal the size of the student’s class. Introductory Statistics 2013-09-19T00:00:00Z When asked to find the probability of an individual value, use the stated distribution of its random variable; do not use the clt. Introductory Statistics 2013-09-19T00:00:00Z The random variable is shown as χ2, but may be any upper case letter. Introductory Statistics 2013-09-19T00:00:00Z Remember that the area under the pdf for all possible values of the random variable is one, certainty. Introductory Business Statistics 2017-11-29T00:00:00Z The random variable is shown as χ2, but it may be any uppercase letter. High School Statistics 2020-03-27T00:00:00Z Define the random variable and list its possible values. Introductory Statistics 2013-09-19T00:00:00Z Random Variable: The sample standard deviation, s, is the random variable. Introductory Statistics 2013-09-19T00:00:00Z Define the random variable X for this example. Introductory Statistics 2013-09-19T00:00:00Z The random variable for the exponential distribution is continuous and often measures a passage of time, although it can be used in other applications. Introductory Business Statistics 2017-11-29T00:00:00Z The values of a continuous random variable are uncountable, which means the values are not obtained by counting. High School Statistics 2020-03-27T00:00:00Z It is a function of x that gives the probability that the random variable is less than or equal to x. Introductory Statistics 2013-09-19T00:00:00Z Define the random variable X in this experiment. Introductory Statistics 2013-09-19T00:00:00Z Explain how the rules applying the central limit theorem to sample means, and to sums of a random variable, are similar. Introductory Statistics 2013-09-19T00:00:00Z First, the Poisson has a discrete random variable, x, where time; a continuous variable is artificially broken into discrete pieces. Introductory Business Statistics 2017-11-29T00:00:00Z Another example of a continuous random variable is the height of a randomly selected high school student. High School Statistics 2020-03-27T00:00:00Z Let X¯ be the random variable of averages. Introductory Statistics 2013-09-19T00:00:00Z A random variable describes the outcomes of a statistical experiment in words. Introductory Statistics 2013-09-19T00:00:00Z The values of a random variable can vary with each repetition of an experiment. Introductory Statistics 2013-09-19T00:00:00Z The number of events, four in the graph, is measured in counting numbers; therefore, the random variable of the Poisson is a discrete random variable. Introductory Business Statistics 2017-11-29T00:00:00Z Lower case letters like x or y denote the value of a random variable. Introductory Statistics 2013-09-19T00:00:00Z Values for an exponential random variable occur in the following way. Introductory Statistics 2013-09-19T00:00:00Z If X is a random variable, then X is written in words, and x is given as a number. Introductory Statistics 2013-09-19T00:00:00Z To do the problem, first let the random variable X = the number of days the men's soccer team plays soccer per week. Introductory Statistics 2013-09-19T00:00:00Z The formula is for any value of the random variable we chose, and so the x is put into the formula. Introductory Business Statistics 2017-11-29T00:00:00Z The random variable X = the number of students who withdraw from the randomly selected elementary physics class. Introductory Statistics 2013-09-19T00:00:00Z Suppose that the length of a phone call, in minutes, is an exponential random variable with decay parameter 1 . Introductory Statistics 2013-09-19T00:00:00Z We can tell what specific value x the random variable X takes only after performing the experiment. Introductory Statistics 2013-09-19T00:00:00Z The random variable X = the number of successes obtained in the n independent trials. Introductory Statistics 2013-09-19T00:00:00Z X is binomial: the random variable is binary, people either have a cell phone or they do not. Introductory Business Statistics 2017-11-29T00:00:00Z In a geometric experiment, define the discrete random variable X as the number of independent trials until the first success. Introductory Statistics 2013-09-19T00:00:00Z Think about the random variable that is being used in the problem. Introductory Statistics 2013-09-19T00:00:00Z The random variable X = the number of items from the group of interest. Introductory Statistics 2013-09-19T00:00:00Z X is a random variable with a mean of 25 and a standard deviation of two. Introductory Statistics 2013-09-19T00:00:00Z The random variable is discrete, and the events are, we could assume, independent. Introductory Business Statistics 2017-11-29T00:00:00Z The random variable X = the number of successes obtained in the n independent trials. Introductory Statistics 2013-09-19T00:00:00Z What symbol represents the random variable for this test? Introductory Statistics 2013-09-19T00:00:00Z For the given values of the random variable X, fill in the corresponding probabilities. Introductory Statistics 2013-09-19T00:00:00Z Define the random variable X and give its distribution. Introductory Statistics 2013-09-19T00:00:00Z The decay factor simply measures how rapidly the probability of an event declines as the random variable X increases. Introductory Business Statistics 2017-11-29T00:00:00Z To put it more formally, if you draw random samples of size n, the distribution of the random variable X¯ , which consists of sample means, is called the sampling distribution of the mean. Introductory Statistics 2013-09-19T00:00:00Z In words, define the random variable for this test. Introductory Statistics 2013-09-19T00:00:00Z Throughout the chapter, it is important to keep in mind that the confidence interval is a random variable. Introductory Statistics 2013-09-19T00:00:00Z Define the random variable: X¯ d mean difference in the maximum lift per player. Introductory Statistics 2013-09-19T00:00:00Z The exponential probability distribution calculates probabilities of the passage of time, a continuous random variable. Introductory Business Statistics 2017-11-29T00:00:00Z We can tell what specific value x of the random variable X takes only after performing the experiment. Introductory Statistics 2013-09-19T00:00:00Z What symbol represents the random variable for this test? Introductory Statistics 2013-09-19T00:00:00Z What is the random variable of interest for this test? Introductory Statistics 2013-09-19T00:00:00Z In words, define the random variable for this test. Introductory Statistics 2013-09-19T00:00:00Z |
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