A company has 7 warehouses, only 4 of which have a particular product in stock. A...

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A company has 7 warehouses, only 4 of which have a particular product in stock. A...

A company has 7 warehouses, only 4 of which have a particular product in stock. A salesperson calls the warehouses in a random order until a warehouse with the product is reached. Let the random variable X be the number of calls made by the salesperson. What is the P(X=2)?

Round your answer to the nearest hundredth.

math Statistics-And-Probability

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Answer 1

Answer #1

Ans:

Use Geometric distribution:

Probability of success,p=4/7

P(X=k)=(1-p)^k-1*p

P(X=2)=(1-(4/7))^2-1*(4/7)

=(3/7)*(4/7)=12/49=0.24

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Answer 2

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