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Homework answers / question archive / 1)The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience
1)The director of admissions at Kinzua University in Nova Scotia estimated the distribution of student admissions for the fall semester on the basis of past experience. 

Admissions 
Probability 
1,020 
0.3 
1,320 
0.2 
1,560 
0.5 

1. 
What is the expected number of admissions for the fall semester? 


2. 
Compute the variance and the standard deviation of the number of admissions. 


2.
What is the probability this could occur by chance? 
a. 
What are the values for a and b in minutes 
b1. 
What is the mean time to resolve the problem 
b2. 
What is the standard deviation of the time? 
c. 
What percent of the problems take more than 5 minutes to resolve? 
d. 
Suppose we wish to find the middle 50% of the problemsolving times. What are the end points of these two times? 
rev: 03_07_2016_QC_CS44272
3.
A normal population has a mean of 21 and a standard deviation of 6. 
a. 
Compute the z value associated with 24. 
b. 
What proportion of the population is between 21 and 24? 
c. 
What proportion of the population is less than 17? 
rev: 10_31_2014_QC_57584, 10_26_2015_QC_CS30764
4.
What is the operating cost for the lowest 5% of the airplanes? 
5.
How many pages should the manufacturer advertise for each cartridge if it wants to be correct 90 percent of the time? 
rev: 03_03_2016_QC_CS44280
6.
A study of longdistance phone calls made from General Electric Corporate Headquarters in Fairfield, Connecticut, revealed the length of the calls, in minutes, follows the normal probability distribution. The mean length of time per call was 4.10 minutes and the standard deviation was 0.40 minutes. 

a. 
What fraction of the calls last between 4.10 and 4.80 minutes? 


b. 
What fraction of the calls last more than 4.80 minutes? 


c. 
What fraction of the calls last between 4.80 and 5.50 minutes? 


d. 
What fraction of the calls last between 3.50 and 5.50 minutes? 


e. 
As part of her report to the president, the director of communications would like to report the length of the longest (in duration) 5 percent of the calls. What is this time? 


7.
What is the probability of passing at least one? 
8.
What is the probability neither truck is available? 
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