Use the probability distribution graph to answer the question.
P(X ≤ a) = 0.6
What is the value of a?
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Answer:
5
Step-by-step 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.