Let X be the number of packages being mailed by a randomly selected customer at
ID: 3059186 • Letter: L
Question
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows. p(x) 0.40.2 0.3 0.1 (a) Consider a random sample of size n -2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X. 1.5 2 2.5 3 3.5 4 P(x) (b) Refer to part (a) and calculate P(X s 2.5) (c) Again consider a random sample of size n = 2, but now focus on the statistic R = the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R. [Hint: Calculate the value of R for each outcome and use the probabilities from part (a).] 2 P(R) (d) If a random sample of size n - 4 is selected, what is PR s 1.5)? [Hint: You should not have to list all possible outcomes, only those for which x s 1.5.]Explanation / Answer
Let X be the number of packages being mailed by a randomly selected customer at a certain shipping facility. Suppose the distribution of X is as follows. p(x) 0.40.2 0.3 0.1 (a) Consider a random sample of size n -2 (two customers), and let X be the sample mean number of packages shipped. Obtain the probability distribution of X. 1.5 2 2.5 3 3.5 4 P(x) (b) Refer to part (a) and calculate P(X s 2.5) (c) Again consider a random sample of size n = 2, but now focus on the statistic R = the sample range (difference between the largest and smallest values in the sample). Obtain the distribution of R. [Hint: Calculate the value of R for each outcome and use the probabilities from part (a).] 2 P(R) (d) If a random sample of size n - 4 is selected, what is PR s 1.5)? [Hint: You should not have to list all possible outcomes, only those for which x s 1.5.]
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.