The number of friends, x, cookie the Clown makes in a year is exponentially distributed on the interval [0, ∞) with a mean of 20 friends. a) Find the probability density function for the random variable x. b) Find the probability that the number of friends cookie makes is less than 15 people.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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The number of friends, x, cookie the Clown makes in a year is exponentially distributed on the interval [0, ∞) with a mean of 20 friends.

a) Find the probability density function for the random variable x.

b) Find the probability that the number of friends cookie makes is less than 15 people.

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