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:

2

Step-by-step 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:

[tex]E(x) = \sum x * f[/tex]

Where

x = days

f = chances

So, we have:

[tex]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[/tex]

[tex]E(x) = 1.56[/tex]

[tex]E(x) \approx 2[/tex]

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18

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