Question

Question 4

1p

Given the chart below, calculate the number of days one

could expect to have off due to hurricanes. Round to the nearest

day (enter your answer as a number only, you don't need to write "days" at the

end)

Number of Hurricane Days Each School Year

1

2

3

4

0

5

6

7

Days:

Chances of

having that

many days oft:

03

02

0.25

0.2

0.02

0.01

0.01

0.01

Answer 1

2

Explanation:

Given

See attachment for chart

Required

Number of off days

To do this, we simply calculate the expected value of the chart.

This is calculated as:

`E(x) = \sum x * f`

Where

x = days

f = chances

So, we have:

`E(x) = 0* 0.3 + 1 *0.2 + 2 * 0.25 + 3 * 0.2 + 4 * 0.02 + 5 * 0.01 + 6 * 0.01 + 7 * 0.01`

`E(x) = 1.56`

`E(x) \approx 2`