Math assignment help
1 Here are the shopping times (in minutes) for a sample of shoppers at a particular computer store:
24, 42, 34, 32, 33
Find the standard deviation of this sample of shopping times. Round your answer to at least two decimal places.
2 A sociologist studying the justice system has just written a paper detailing her findings after she examined the records of thousands of inmates. Among other things, she looked at the prison terms actually served by inmates who had been sentenced to five to ten years for a felony conviction. She found that the mean term actually served by those inmates was months, with a standard deviation of months. Suppose that these measures are valid for the population of all inmates who have been sentenced to five to ten years for a felony conviction. Complete the following statements about the distribution of all prison terms actually served by inmates sentenced to five to ten years for a felony conviction.
a) According to Chebyshev’s theorem, at least of the prison terms actually served lie between 25 months and 69 months.
(b) According to Chebyshev’s theorem, at least 8/9 (about 89%) of the prison terms actually served lie between
months
and
months
. (Round your answer to the nearest integer.)
(c) Suppose that the distribution is bellshaped. According to the empirical rule, approximately 68% of the prison terms actually served lie between
months
and
months
.
(d) Suppose that the distribution is bellshaped. According to the empirical rule, approximately of the prison terms actually served lie between 25 months and 69 months.
3 The following data are the maximum temperatures (in degrees Fahrenheit) of cities in the United States measured on the same day.
85, 58, 60, 51, 56, 61, 71, 73, 72, 59, 64, 82, 74, 70, 75, 64, 56, 62 .
Send data to Excel 
Using the tool provided, construct a boxandwhisker plot for the data.
4The following summarizes the number of fiction books read last summer by a sample of students at a certain college.
Number of students  Number of books 
4  1 
7  3 
13  4 
1 What is the mean number of books read? Round your answer to at least one decimal place.
5 There are entrees available at a restaurant. From these, Archie is to choose for his party. How many groups of entrees can he choose, assuming that the order of the entrees chosen does not matter?
6
777
7


=P∩AB=P∪AB

8 At a local college, of the male students are smokers and are nonsmokers. Of the female students, are smokers and are nonsmokers. A male student and a female student from the college are randomly selected for a survey. What is the probability that both are smokers?
Do not round your answer.
9


=PRF
0.7 =P∩FR
=PF
=P∩FR
=PRF
=PRF 0.6 =P∩FR
=PF 0.6 =P∩FR
=PRF
What is the probability that a randomly chosen moviegoer attended the war film?

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10 A catering service offers appetizers, main courses, and desserts. A banquet chairperson is to select appetizers, main courses, and desserts for a banquet. In how many ways can this be done?
11An urn contains green and red balls. Four balls are randomly drawn from the urn in succession, with replacement. That is, after each draw, the selected ball is returned to the urn. What is the probability that all balls drawn from the urn are red? Round your answer to three decimal places.
12 A sample of students at a particular university was taken. The students were classified according to their major and their gender. The results are given in the contingency table below.
Major  
Biology  Business  Engineering  Mathematics  Computer Science  
Gender  Female  34  29  48  21  47 
Male  19  26  21  31  20 
Among the male students in the sample, find the relative frequency of those who happen to major in engineering.
Round your answer to at least two decimal places.
13 A university’s leadership council is made up of members: are students, are teachers, and are deans. A newspaper reporter is planning to select two of the council members for interviews. The first member will be chosen at random, and then the second member will be chosen at random from the remaining members. What is the probability that two teachers will be selected?
Report your answer as an exact fraction
14
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