value:
10.00 points
It is claimed that Proactine, a new medicine for acne, is 75 percent effective. It is applied to the affected area of a group of 15 people. Calculate the probability for the following (Round your answers to 3 decimal places): 
(a) 
All 15 will show significant improvement 
(b) 
Fewer than 9 of 15 will show significant improvement 
(c) 
That 12 or more people will show significant improvement 
2.
value:
10.00 points
A study of the attendance at the University of Alabama’s basketball games revealed that the distribution of attendance is normally distributed with a mean of 9,600 and a standard deviation of 1,800. 
(a) 
What is the probability a particular game has an attendance of 13,500 or more? (Round zscore computation to 2 decimal places and your final answer to 4 decimal places.) 
(b) 
What percent of the games have an attendance between 8,000 and 11,500? (Round zscore computation to 2 decimal places and your final answer to 4 decimal places.) 
(c) 
Ten percent of the games have an attendance of how many or less? 
3.
value:
10.00 points
The distribution of the number of schoolage children per family in the Whitehall Estates area of Boise, Idaho, is: 






Number of children 
0 
1 
2 
3 
4 
Percent of families 
25 
30 
40 
3 
2 

(a) 
Determine the mean and standard deviation of the number of schoolage children per family in Whitehall Estates. (Round your answers to 2 decimal places.) 
(b) 
A new school is planned in Whitehall Estates. An estimate of the number of schoolage children is needed. There are 500 family units. How many children would you estimate? 
Some additional information is needed about only the families having children. 
(c1) 
Convert the preceding distribution to one for families with children. (Round your answers to 5 decimal places.) 
Number of
Children (X) 
Probability
given Children P(X) 
1 

2 

3 

4 








(c2) 
What is the mean number of children among families that have children? (Round your answer to 2 decimal places.) 
4.
value:
10.00 points
First National Bank thoroughly investigates its applicants for small homeimprovement loans. Its default record is very impressive: The probability that a homeowner will default is only .005. The bank has approved 400 small homeimprovement loans. Assuming the Poisson probability distribution applies to this problem: 
(a) 
What is the probability that no homeowners out of the 400 will default? (Round your answer to 4 decimal places.) 
(b) 
How many of the 400 are expected not to default? 
(c) 
What is the probability that 3 or more homeowners will default on their small homeimprovement loans?(Round your answer to 4 decimal places.) 
5.
value:
10.00 points
DanielJames Insurance Company will insure an offshore Mobil Oil production platform against weather losses for one year. The president of DanielJames estimates the following losses for that platform (in millions of dollars) with the accompanying probabilities: 
Amount of Loss
($ millions) 
Probability
of Loss 
0 
.98 
40 
.016 
300 
.004 

.mcgrawhill.com/sites/dl/free/0073401803/887798/Review_4_e15.xls”> Click here for the Excel Data File 
(a) 
What is the expected amount DanielJames will have to pay to Mobil in claims? (Enter your answer in millions to 2 decimal places. Omit the “$” sign in your response.) 
Expected amount 
$ million 
(b) 
What is the likelihood that DanielJames will actually lose less than the expected amount? (Round your answer to 2 decimal places.) 
(c) 
Given that DanielJames suffers a loss, what is the likelihood that it is for $300 million? (Round your answer to 2 decimal places.) 
(d) 
DanielJames has set the annual premium at $2.0 million. Does that seem like a fair premium? Will it cover its risk? 



(Click to select)
Yes
No

6.
value:
10.00 points
The manager of Tee Shirt Emporium reports that the mean number of shirts sold per week is 1,170 with a standard deviation of 315. The distribution of sales follows the normal distribution. 
What is the likelihood of selecting a sample of 25 weeks and finding the sample mean to be 1,100 or less?(Round z value to 2 decimal places and final answer to 4 decimal places.) 
7.
value:
10.00 points
The manager of Tee Shirt Emporium reports that the mean number of shirts sold per week is 1,210, with a standard deviation of 325. The distribution of sales follows the normal distribution. 
What is the likelihood of selecting a sample of 25 weeks and finding the sample mean to be 1,100 or less?(Round z value to 2 decimal places and final answer to 4 decimal places.) 
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