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# Employees of a Company (Coursework Sample)

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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?

source..Content:

Module 3 Discussions

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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

Î¼ is the mean of X

Ïƒ is the standard deviation of X (Stat Trek, 2015).

Step 1: Z-score for ten days

z = (X - Î¼) / Ïƒ (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 stand...

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