# A small high school holds its graduation ceremony in the gym. Because of seating constraints, students are

## Question:

A small high school holds its graduation ceremony in the gym. Because of seating constraints, students are limited to a maximum of four tickets to graduation for family and friends. Suppose 30% of students want four tickets, 25% want three, 25% want two, 15% want one, and 5% want none.

a. Write a simulation for 150 graduates requesting tickets, where students’ requests follow the distribution described above. In particular, keep track of the variable T = the total number of tickets requested by these 150 students.

b. The gym can seat a maximum of 410 guests. Based on your simulation, estimate the probability that all students’ requests can be accommodated.

## Step by Step Answer:

**Related Book For**

## Modern Mathematical Statistics With Applications

**ISBN:** 9783030551551

3rd Edition

**Authors:** Jay L. Devore, Kenneth N. Berk, Matthew A. Carlton