The vacation leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. a. Find the probability that the vacation – leave time of an employee in a month exceeds 180 hours

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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1. The vacation leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours.

a. Find the probability that the vacation – leave time of an employee in a month exceeds 180 hours

2. Given a standard normal distribution, find the area under the curve that lies:

a.  to the left of z = 1.75; 

b. between z = −0.90 and z = 2.56 

c. between z = −2.19 and z = −0.18; *

d.  to the left of z = −3.30

e. to the right of z = 2.74

f. to the right of z = −0.54

3.  The height of 1000 students are normally distributed with a mean of 170.5 centimeters and a standard deviation of 10.5 centimeters. Assuming that the heights are recorded to the nearest half-centimeter, how many of these students would you expect to have heights

a. equal to 125.0 centimeters?

b.  greater than or equal to 178.0 centimeters?

c. between 161.5 and 192.0 centimeters inclusive? 

d. less than 150.0 centimeters?

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