Question

Use the probability distribution graph to answer the question.

P(X ≤ a) = 0.6

What is the value of a?

Answer 1

5

Explanation:

So we want to find the value of x where the area to the left of it is equal to 0.6.

Let's start by finding the area of the first triangle, between x=0 and x=4.

A = 1/2 bh

A = 1/2 (4) (0.2)

A = 0.4

So we know a > 4. What if we add the area of that rectangle?

A = 0.4 + bh

A = 0.4 + (1) (0.2)

A = 0.6

Aha! So a = 5.