Question

Yoonie is a personnel manager in a large corporation. Each month she must review the employees in her department. From past experience, she has found that the reviews take her approximately four hours each to do with a standard deviation of 1.2 hours.

(1) What is the mean time to complete one review?

2) How long in average it takes to complete two reviews?

(3) What is the probability that one review will take Yoonie from 3.5 to 4.25 hours? (Round to 3 decimal places)

(4) What is the probability that one review will take Yoonie from less than 2.8 hours? (Round to 2 decimal places)

5) What is the probability that one review will take Yoonie more than 6.4 hours? (Round to 3 decimal places)

(6)What is the probability that one review will take Yoonie
fmore than 6.4 hours **given that** it took her more
than 5.2 hours? (Use conditional probability and empirical
rule. Round to 3 decimal places) (Round to three decimal
places)

Answer #1

1)mean time to complete one review =4 hours

2)average it takes to complete two reviews=2*4 =8 hours

3)

probability
=P(3.5<X<4.25)=P((3.5-4)/1.2)<Z<(4.25-4)/1.2)=P(-0.42<Z<0.21)=0.5832-0.3372=0.246 |

4)

probability =P(X<2.8)=(Z<(2.8-4)/1.2)=P(Z<-1)=0.16 |

5)

probability =P(X>6.4)=P(Z>(6.4-4)/1.2)=P(Z>2)=1-P(Z<2)=1-0.9772=0.025 |

6)

P(X>6.4|X>5.2) =P(Z>((6.4-4)/1.2)/P(Z>(5.2-4)/1.2) =P(Z>2)/P(Z>1 )=0.025/0.16 = 0.156

Yoonie is a personnel manager in a large corporation. Each month
she must review 16 of the employees. From past experience, she has
found that the reviews take her approximately four hours each to do
with a population standard deviation of 1.2 hours.
(1) What is the mean time to complete one review?
2) What is the standard deviation to complete one
review?
3) What is the probability that one review will take Yoonie from
3.5 to 4.25 hours? (Round to 3...

Yoonie is a personnel manager in a large corporation. Each month
she must review 16 of the employees. From past experience, she has
found that the reviews take her approximately four hours each to do
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Yoonie is a personnel manager in a large corporation. Each month
she must review 20 of the employees. From past experience, she has
found that the reviews take her approximately 2 hours each to do
with a population standard deviation of 0.3 hours. Let ? be the
random variable representing the time it takes her to complete one
review. Assume X is normally distributed. Let ?⎯⎯⎯⎯⎯ be the random
variable representing the mean time to complete the 20 reviews.
Assume...

Yoonie is a personnel manager in a large corporation. Each month
she must review 16 of the employees. From past experience, she has
found that the reviews take her approximately four hours each to do
with a population standard deviation of 1.2 hours. Let X
be the random variable representing the time it takes her to
complete one review. Assume X is normally distributed. Let
X be the random variable representing the mean time to complete the
16 reviews. Assume...

Yoonie is a personnel manager in a large corporation. Each month
she must review 16 of the employees. From past experience, she has
found that the reviews take her approximately four hours each to do
with a population standard deviation of 1.2 hours. Let X
be the random variable representing the time it takes her to
complete one review. Assume X is normally distributed. Let
X be the random variable representing the mean time to complete the
16 reviews. Assume...

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he must review 19 of the employees. From past experience, he has
found that the reviews take him approximately 5 hours each to do
with a population standard deviation of 0.7 hours. Let ? be the
random variable representing the time it takes him to complete one
review. Assume X is normally distributed. Let ?⎯⎯⎯⎯⎯ be the random
variable representing the mean time to complete the 19 reviews.
Assume...

The manager of the Personnel Department at City Enterprises has
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perform these activities. The manager provides the following
estimates for the amount of time it takes to complete each of these
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The manager of the Personnel Department at City Enterprises has
been reading about time-driven ABC and wants to apply it to her
department. She has identified four basic activities her employees
spend most of the their time on: Interviewing, Hiring, Assessment,
and Separation Processing. The department employs 14 staff who
perform these activities. The manager provides the following
estimates for the amount of time it takes to complete each of these
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Hiring: 69 minutes.
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The manager of the Personnel Department at City Enterprises has
been reading about time-driven ABC and wants to apply it to her
department. She has identified four basic activities her employees
spend most of the their time on: Interviewing, Hiring, Assessment,
and Separation Processing. The department employs 25 staff who
perform these activities. The manager provides the following
estimates for the amount of time it takes to complete each of these
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Hiring: 80 minutes.
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The manager of the Personnel Department at City Enterprises has
been reading about time-driven ABC and wants to apply it to her
department. She has identified four basic activities her employees
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