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The owner of Crmerie du Nord wants to open two new branches. Here are the possible earnings per hour and the probabilities that they will

The owner of Crèmerie du Nord wants to open two new branches. Here are the possible earnings per hour and the probabilities that they will occur:

ProjetA

Gains (en$/hr)

Probabilits

18

0,20

30

0,15

37

0,10

40

0,05

45

0,50

ProjectB

Gains (en$/hr)

Probabilits

20

0,35

27

0,25

30

0,25

35

0,10

42

0,05

ScenarioD

The owner of Crèmerie du Nord has compiled a compilation of the average number of hours worked by his employees. The average working time per month is 24.4 hours and the standard deviation is 2.5 hours. Assuming that the variable number of hours worked per month is distributed according to a normal distribution, answer the following questions.

Question 11

What is the probability that one of its employees chosen at random works more than 26 hours per month? ( 9 points of which 3 points are allocated for a clear approach )

[Insert your answer here.]

Question 12

The owner noticed that 5% of his employees work extremely hard. These employees work a minimum of how many hours per month? ( 9 points of which 3 points are allocated for a clear approach )

[Insert your answer here.]

Question13

What is the probability that a randomly selected employee works between 15 hours and 30 hours per month? ( 13 points of which 3 points are allocated for a clear approach )

[Insert your answer here.]

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