Question

A teacher asks her students to write down the number of hours studied, rounded to the nearest half hour. She compiles the results and develops the probability distribution below for a randomly selected student. What is the mean of the probability distribution?

Probability Distribution
Hours Studied: X
Probability: P(X)
0.5
0.07
1
0.2
1.5
0.46
2
0.2
2.5
0.07

0.20
0.46
0.85
1.50

Answer 1

D

Explanation:

1.50 on edge (if that guys right)

Answer 2

1.50

Explanation:

To find the mean of the probability distribution, we need to multiply each value of hours studied by its corresponding probability, then add up the products.

Mean = (0.5 x 0.07) + (1 x 0.2) + (1.5 x 0.46) + (2 x 0.2) + (2.5 x 0.07)

Mean = 0.035 + 0.2 + 0.69 + 0.4 + 0.175

Mean = 1.5

Therefore, the mean of the probability distribution is 1.5.