SOLUTION: Need help, I was given this question in my class and the tutorial link that would show me how to figure it out isn't working. Can someone please show me how to calculate?
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Question 872514: Need help, I was given this question in my class and the tutorial link that would show me how to figure it out isn't working. Can someone please show me how to calculate?
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? Post your solutions to the problems and respond to the solutions posted by your classmates Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! this problem uses the normal distribution and z-table values to calculate probabilities
1) calculate z-value for Pr(X<10)
z-value = (10 - 14) / 3 = -4/3 = -1.33
consult z-table of negative values and
Pr(X<10) = 0.09
2) Pr(X>21) = 1 - Pr(X<21)
the z-value for Pr(X<21) is (21 -14) / 3 = 7/3 = 2.33
consult z-table for positive values
Pr(X>21) = 1 - 0.99 = 0.01
