Question

In: Statistics and Probability

Using R-Studio find the answer to The average number of patrons arriving at a restaurant per...

Using R-Studio find the answer to

The average number of patrons arriving at a restaurant per hour is eleven. What is the probability that eight or less will arrive in the next hour?

1. 0.232

2. 0.173

3. 0.1432

4. 0.8881

Expert Solution

Solution:

We are given that: The average number of patrons arriving at a restaurant per hour is eleven.

That is :

Thus X = number of patrons arriving at a restaurant per hour follows Poisson distribution with parameter .

We have to use R-Studio to find the probability that eight or less will arrive in the next hour.

That is:

Use following R command:

> ppois( x value , lambda= parameter)

thus

> ppois(8, lambda=11)

which gives result

0.2319851

thus

Thus correct option is: 1) 0.232

orchestra answered 1 year ago

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