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Sagot :
Total number of employee working for four hours per shift for the manager is 2 people.
What is probability?
Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event. The probability of an event can not be more than the number 1.
The probability of failure of an event is equal to the difference of the 1 to the success of the event.
Here, the manager records the number of hours, X, each employee works on his or her shift and develops the probability distribution below.
Probability Distribution
Hours Worked: X Probability: P(X)
3 0.1
4 ?
5 0.14
6 0.3
7 0.36
8 0.06
As, the probability of an event can not be more than the number 1. Thus, the sum of all the probabilities will be equal to 1.
Let suppose the probability of people working for four hour is x. Therefore,
[tex]0.1+x+0.14+0.3+0.36+0.06=1\\x+0.96=1\\x=1-0.96\\x=0.04[/tex]
Now, the total number of people work for the manager is 50. Therefore, total number of people working for 4 hours are,
[tex]0.04\times50=2[/tex]
Hence, total number of employee working for four hours per shift for the manager is 2 people.
Learn more about the probability here;
https://brainly.com/question/24756209
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