2. Let X be the number of packages being mailed by a randomly selected customer at a shipping facility. Suppose the distribution of X is as follows: X 1 2 3 4 p(x) 0.4 0.3 0.2 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. (b) Refer to part (a) and calculate Pr(X ≤ 2.5).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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2. Let X be the number of packages being mailed by a randomly selected
customer at a shipping facility. Suppose the distribution of X is as
follows:
X
1
2 3 4
p(x) 0.4 0.3 0.2 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.
(b) Refer to part (a) and calculate Pr(X ≤ 2.5).
Transcribed Image Text:2. Let X be the number of packages being mailed by a randomly selected customer at a shipping facility. Suppose the distribution of X is as follows: X 1 2 3 4 p(x) 0.4 0.3 0.2 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. (b) Refer to part (a) and calculate Pr(X ≤ 2.5).
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