3. Five people, including you and a friend, line up in a random order. Let X count the number of people in the line standing in between you and your friend. (a) Find the pmf px(x) by constructing a neat, organized table of values. Express your answers as fractions in lowest terms. (Note that a waiting line is ordered. Permutations are needed here.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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3. Five people, including you and a friend, line up in a random order. Let X count the
number of people in the line standing in between you and your friend.
(a) Find the pmf px(x) by constructing a neat, organized table of values. Express
your answers as fractions in lowest terms. (Note that a waiting line is ordered.
Permutations are needed here.)
(b) Find Var (X). Express your answer as a decimal.
Transcribed Image Text:3. Five people, including you and a friend, line up in a random order. Let X count the number of people in the line standing in between you and your friend. (a) Find the pmf px(x) by constructing a neat, organized table of values. Express your answers as fractions in lowest terms. (Note that a waiting line is ordered. Permutations are needed here.) (b) Find Var (X). Express your answer as a decimal.
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