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liq [111]
3 years ago
7

At a large department store, the number of years of employment for a cashier is a normally distributed variable with a mean of 5

.7 years and a standard deviation of 1.8 years. If an employee is picked at random, what is the probability that the employee has worked at the store for over 10 years?
Business
1 answer:
Yakvenalex [24]3 years ago
4 0

Answer:

0.0084

Explanation:

For this probability problem, we will have to make use of the normal probability distribution table.

to use the table, we will have to compute a certain value

z = (x- mean) /Standard deviation

z = \frac{(10 - 5.7)}{1.8} = 2.39

Probability he has worked in the store for over 10 years can be obtained by taking the z value of 2.39 to the normal probability distribution table to read off the values.

<em>To do this, on the  "z" column, we scan down the value 2.3. we then trace that row until we reach the value under the ".09" column. </em>

This gives us 0.99916

Thus we have P (Z < 2.39) = 0.9916

We subtract the value obtained from the table from 1 to get the probability required.

1 - 0.9916 = 0.0084

The Probability that the employee has worked at the store for over 10 years = 0.0084

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