A report revealed that the average number of months that an employee stays in a factory is 36 months.

zi2lalZ 2021-09-10 Answered
A report revealed that the average number of months that an employee stays in a factory is 36 months. Assuming that the number of months of an employee tenure in the factory is normally distributed with a standard deviation of 6 months, find the probability that a certain employee will stay. a. More than 30 months b. Less than 24 months c. Between 24 to 48 months
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Expert Answer

timbalemX
Answered 2021-09-11 Author has 108 answers

Step-by-step explanation:

z=Xμ1σ

μ0 the mean ( average no. of months that an employee stay in a factory) σ standard deviation

a) P[30]=1P[X<30]

P[X<30]

We look for z (score)

z=Xμ1σz=30366

z=1

From z table we get for -1

P[X<30]=0,1587 And P[X30]=1P[x<30]P[X30]=10,1587

P[X30]=0,8413 or 84,13%

b) P[x<24]

z(score)=24366

z(score)=2 And from z table we get: P[X<24]=0,0228 or 2,28%

c) P[24<x<48] is P[X48]P[x24]

P[X<48]

s(score)=48366z=2

P[x<48]=0,9772

Then P[24<X<48]=0,97720,0228

P[24<X<48]=0,9544 or 95,44%

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