Employees of a Company

Module 3 Discussions
Name:
Institution:
Probability that the number of vacation days taken by employees is less than ten days
Mean of the standard distribution=14 days
Standard deviation of the normal distribution=3 days
Z is the normal random variable of a standard normal distribution.
X is the normal random variable
μ is the mean of X
σ is the standard deviation of X (Stat Trek, 2015).
Step 1: Z-score for ten days
z = (X - μ) / σ (Stat Trek, 2015).
(10-14)/3=-1.33
Step 2: Calculating probability
P (Z>-1.33) =0.9082
Step 3 Subtract this from 1
1-0.9082=0.0918
Probability that the number of vacation days taken by employees is more than 21 days
Mean of standard distribution=14 days
Standard deviation of normal distribution=3 days
First step: Z-score for 21 days
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