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 bell-shaped. According to the empirical rule, approximately 68% of the prison terms actually served lie between

months

 

and

months

 

.

 

(d) Suppose that the distribution is bell-shaped. 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 box-and-whisker plot for the data.

 

 

4-The 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

Suppose that  and  are independent events such that  and  . Find  and  . (If necessary, consult a  list of formulas .)

 

=P∩AB=P∪AB

 

 

8- At a local college,  of the male students are smokers and  are non-smokers. Of the female students,  are smokers and  are non-smokers. 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-

For a recent evening at a small, old-fashioned movie theater,  of the moviegoers were female and were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film:  of the females attended the romantic comedy. Among the male moviegoers the romantic comedy also was more popular:  of the males attended the romantic comedy. No moviegoer attended both movies. Let  denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and  denote the event that a randomly chosen moviegoer was male. Let  denote the event that a randomly chosen moviegoer attended the romantic comedy and  denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities to complete the tree diagram below, and then answer the question that follows. Do not round any of your responses.

 

=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?

Clear Undo Help

 

 

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?

 

11-An 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-

15

Needs help with similar assignment?

We are available 24x7 to deliver the best services and assignment ready within 3-4 hours? Order a custom-written, plagiarism-free paper

Get Answer Over WhatsApp Order Paper Now