SOLUTION: The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the pr

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Question 872023: The number of vacation days taken by employees of a company is normally distributed with a mean of 14 days and a standard deviation of 3 days. For the next employee, what is the probability that the number of days of vacation taken is less than 10 days? More than 21 days?
I was trying to use the formula:
P(A) = The Number of Ways Event A Can Occur / The Total Number of Possible Outcomes

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

mean of 14 days and a standard deviation of 3 days.

Normal Distribution

P(x ≤ 10), z =(10-14)/3 =  -4/3, P(z ≤ -1.3333) = 9.12%

P(x ≥ 21), z =(21-14)/3 =  7/3,

 P(x ≥ 21) = 1 - P(x <21) = 1 - P(z < 2.3333) = .0098 0r.98%