Question

The probability distribution histogram shows the age distribution of giraffes at a zoo.

What is P (4<X≤12)

 ?
Enter your answer, as a decimal

Answer 1

From the histogram, we have to calculate P(4<X≤12)

In order to calculate thi, we will break this down to two probabilties

P (4<X
`\leq`8)

and

P (8<X
`\leq`12)

The probability P (4<X
`\leq`8) refers to the second bar on the histogram

The probability P (8<X
`\leq`12) refers to the third bar on the histogram

We add the two probabilities to get the final answer

P (4<X
`\leq`8) = 0.1

P (8<X
`\leq`12) = 0.35

Therefore, P(4<X≤12) = 0.1 + 0.35 = 0.45

P(4<X≤12) = 0.45