can someone do my math homework

Please read all questions and instructions carefully. Answer in a complete sentence where appropriate. Draw and

label curves .The point values for each question are in ( )before each question number.

(10) 1. The table below shows the results of a survey in which 146 families were asked if they own a computer

and if they will be taking a summer vacation during the current year.

Summer Vacation This Year

Yes	No	Total
87	28	115
14	17	31
101	45	146

Own a Computer
	Yes
	No
	Total

a. Find the probability that a randomly selected family is not taking a summer vacation this year.

b. Find the probability that a randomly selected family owns a computer.

c. Find the probability that a randomly selected family is taking a summer vacation this year, given that they

own a computer.

d. Find the probability that a randomly selected family is taking a summer vacation this year and owns

a computer.

e. Are the events “owning a computer” and “taking a summer vacation this year” independent or

dependent events? Explain.

(10) 2 . 70% of Americans consider themselves patriotic. You randomly select 5 Americans and ask them if they are

patriotic.

Complete the following binomial distribution and use it to answer the questions below.

x	P(x)
0
1	0.02835
2	0.13230
3
4	0.36015
5	016807

a. What is the probability that exactly 3 people asked are patriotic?

b. What is the probability that less than 3 people are patriotic?

(10) 3. Given the following set of data find the mean, median, mode, range, and standard deviation.

Show all work. Label all answers.

10, 8, 14, 9, 11, 10, 17, 18, 7, 16 Standard Deviation

(10) 4. The BCCC male student body was surveyed to find their nightly sleep time was normally distributed with a

mean of 5.5. hours and a standard deviation of 1.8 hours.

a. If one student is selected at random what is the probability that he had less than 6 hours of sleep?

Draw a diagram and use the standard normal table along with the following formulato

answer this question.

b. If a sample of 49 students is chosen what is the probability that their mean sleep time is less than 6 hours.

Draw a diagram and use the standard normal table along with the following formulato

answer this question.

(10) 5. An airline company claims the average age of their commercial jets is less than 16.5 years.

Suppose a random sample of 36 planes is chosen with an average age of 15.2 years and a standard deviation

of 2.7 years. With test the claim (P value Method) made by the company.

a. State the null and alternative hypothesis and which one is the claim

b. Draw and label a diagram including the critical value of z.

c. Compute the test statistic.

d. State your conclusion using a complete sentence and the language of the claim.

.

(10) 6. 30 students Math 107 Final exam scores are as follows

50, 51, 56, 60, 62, 63, 67, 69, 70, 75, 76, 77, 78, 79, 80

81, 82, 85, 86, 87, 88, 89, 89, 90, 91, 93, 95, 96, 96, 98

a. Construct a grouped frequency distribution with 7 classes.Use the chart below.

What is the class width?

DO NOT HELP

Class	Frequency	Relative frequency	Cumulative frequency	Midpoints
	(=	(=	(=

b. Construct a histogram using class midpoints. Label the histogram completely and comment about its shape.

(10) 7. A random sample of 42 textbooks has a mean price of $114.50 and a standard deviation of $12.30.

a. Find a 95% confidence interval for the mean price of all textbooks

b. How many textbooks (n) must be in the sample if you want to be 95% confident that the sample mean is within $5 of the population mean?

(10) 8. Two cards are chosen (without replacement)

Event A = Choosing an ace

Event B=Choosing a 6

a. Are events A and B mutually exclusive?Explain, a simple yes or no will not give credit.

b. Find P(A and B)