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xz_007 [3.2K]
3 years ago
14

Each year a company selects a number of employees for a management training program. On average, 60 percent of those sent comple

te the program. Out of the 27 people sent, what is the probability that exactly 8 complete the program?
Business
1 answer:
Gnesinka [82]3 years ago
3 0

Answer:

the probability that exactly 8 complete the program is 0.001025

Explanation:

given information:

60 % of those sent complete the program, p = 0.6

the total of people being sent, n = 27

exactly 8 complete the program, x = 8

to find the probability, we can use the following formula

P(X=x)=\left[\begin{array}{ccc}n\\x\\\end{array}\right] p^{x} (1-p)^{n-x}

P(X=8)=\left[\begin{array}{ccc}27\\8\\\end{array}\right] 0.6^{8} (1-0.6)^{27-8}

P(X=8)=\left[\begin{array}{ccc}27\\8\\\end{array}\right] 0.6^{8} (0.4)^{19}

                = 0.001025

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