Question

A wheel, which is part of a game at a shopping center is arranged to give 2 tickets 50% of the time, 5 tickets 25% of the time, 10 tickets 23% of the time, and 10 tickets 2% of the time. A player enters the shopping center and spins the wheel. Calculate the expected number of tickets he will get.

Answer 1

The expected number of tickets a customer will get is 4.75.

Explanation:

The probability distribution of the number of ticket a wheel at a shopping center is arranged to give is as follows:

X Probability (p)

2 0.50

5 0.25

10 0.23

10 0.02

The formula to compute the expected value of a random variable is:

`E(X)=\sum x\cdot P (X=x)`

Compute the expected number of tickets a customer will get as follows:

`E(X)=\sum x\cdot P (X=x)`

`=(2* 0.50)+(5* 0.25)+(10* 0.23)+(10* 0.02)\\=1+1.25+2.3+0.2\\=4.75`

Thus, the expected number of tickets a customer will get is 4.75.