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Statistics / A First Course in Probability 9 / Chapter 4 / Problem 63P

A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross

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People enter a gambling casino at a rate of 1 every 2

Chapter 4, Problem 63P

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QUESTION:

People enter a gambling casino at a rate of 1 every 2 minutes.

(a) What is the probability that no one enters between 12:00 and 12:05?

(b) What is the probability that at least 4 people enter the casino during that time?

Questions & Answers

QUESTION:

People enter a gambling casino at a rate of 1 every 2 minutes.

(a) What is the probability that no one enters between 12:00 and 12:05?

(b) What is the probability that at least 4 people enter the casino during that time?

ANSWER:

Step 1 of 2

Given that a person enter a gambling casino at a rate of 1 every 2 minutes.

a). To find the probability that no one enters between 12:00 and 12:05.

The probability that no one enters between 5 minutes.

Then, the number of people during a 5 minutes interval = 2.5

So,

Therefore,

P(nobody enters) =

Therefore the probability that nobody enters = 0.0821.

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