Question

8) At the school carnival, Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time. He will be awarded 3 points for each coin that lands with heads faceup. Let the random variable x represent the total number of points awarded on any toss of the coins. What is the expected value of x?

Answer 1

Answer:

The require expected value of x is $\frac{9}{2}$

Step-by-step explanation:

Consider the provided information.

Mike will play a game in which he will toss a penny, a nickel, and a dime at the same time.

The probability of head is $\frac{1}{2}$

He will be awarded 3 points for each coin that lands with heads faceup.

Let the random variable x represent the total number of points awarded on any toss of the coins.

Thus the expected value is:

$\text{Expected value}=\sum x_i p(x_i)$

$\text{Expected value}=3\times \frac{1}{2}+3\times \frac{1}{2}+3\times \frac{1}{2}$

$\text{Expected value}=\frac{9}{2}$

Hence, the require expected value of x is $\frac{9}{2}$