a) A company has five warehouses, only two of which have a particular product in stock. A salesperson calls the five warehouses in a random order until a warehouse with the product is reached. Let the ran- dom variable X be the number of calls made by the salesperson, and calculate its probability mass function and cumulative distribution function. b) Consider again the salesper- son discussed in above Problem who is trying to locate a par- ticular product. What is the ex- pected number of warehouses called by the salesperson?

A First Course in Probability (10th Edition)
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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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Consider again the salesperson discussed in previous Problems (given in picture) who is trying to locate a particular product. Calculate the variance and standard deviation of the number of warehouses called by the salesperson.  

a) A company has five
warehouses, only two of which
have a particular product in
stock. A salesperson calls the
five warehouses in a random
order until a warehouse with the
product is reached. Let the ran-
dom variable X be the number of
calls made by the salesperson,
and calculate its probability
mass function and cumulative
distribution function.
b) Consider again the salesper-
son discussed in above Problem
who is trying to locate a par-
ticular product. What is the ex-
pected number of warehouses
called by the salesperson?
Transcribed Image Text:a) A company has five warehouses, only two of which have a particular product in stock. A salesperson calls the five warehouses in a random order until a warehouse with the product is reached. Let the ran- dom variable X be the number of calls made by the salesperson, and calculate its probability mass function and cumulative distribution function. b) Consider again the salesper- son discussed in above Problem who is trying to locate a par- ticular product. What is the ex- pected number of warehouses called by the salesperson?
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