Please solve (a) and (b) only! The answer for (b) is not 0.2 or 0.6! 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.1234P(x) 0.2 0.3 0.4 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.11.522.533.54P(x)(b) Refer to part (a) and calculate P(X S 2.5).(c) Again consider a random sample of sizen = 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 theprobabilities from part (a).]12P(R)(d) If a random sample of size n = 4 is selected, what is P(X S 1.5)? [Hint: You should not have to list all possible outcomes, only those for which xS 1.5.]

Name: Please solve (a) and (b) only! The answer for (b) is not 0.2 or 0.6! L
Uploaded: 2024-03-20T06:38:44.000Z
Channel: Bartleby
Description: Please solve (a) and (b) only! The answer for (b) is not 0.2 or 0.6! 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.1234P(x) 0.2 0.3 0.4 0.1(a)