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MATHS - STATS PROBLEMS WITH SOLUTIONS mcq and essay

Question # 00012972
Subject: Mathematics
Due on: 04/21/2014
Posted On: 04/21/2014 02:18 AM

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1. (5 points) In a certain town, 4% of people commute to work by bicycle. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bicycle?

A. 1:24

B. 24:1

C. 1:25

D. 24:25

2. (5 points) Among the contestants in a competition are 43 women and 21 men. If 5 winners are randomly selected, what is the probability that they are all men?

A. 0.02114

B. 0.00267

C. 0.00367

D. 0.13691

3. (5 points) A tourist in France wants to visit 6 different cities. If the route is randomly selected, what is the probability that she will visit the cities in alphabetical order?

A. 1/720

B. 1/36

C. 1/6

D. 720

?

4. (5 points) A police department reports that the probabilities that 0, 1, 2, and 3 burglaries will be reported in a given day are 0.49, 0.42, 0.06 and 0.03, respectively. What is the mean of the given probability distribution?

A. 0.63

B. 1.08

C. 0.56

D. 1.5

5. (5 points) The standard deviation for the binomial distribution with n=40 and p=0.4 is:

A. 7.58

B. 3.46

C. 6.73

D. 3.10

6. (5 points) The probability that a person has immunity to a particular disease is 0.3. Find the mean number who have immunity in samples of size 18.

A. 5.4

B. 9.0

C. 6.7

D. 7.2

?

7. (5 points) The incomes of trainees at a local mill are normally distributed with a mean of $1100 and a standard deviation of $120. What percentage of trainees earn less than $900 a month?

A. 74.5%

B. 9.18%

C. 40.82%

D. 4.75%

8. (5 points) For a standard normal distribution, find the percentage of data that are between 3 standard deviations below the mean and 2 standard deviation above the mean.

A. 84.00%

B. 65.33%

C. 97.59%

D. 15.74%

?

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Express percents as decimals. Round dollar amounts to the nearest cent.

9. (15 points) Most of us hate buying mangos that are picked too early. Unfortunately, by waiting until the mangos are almost ripe to pick carries a risk of having 7% of the picked rot upon arrival at the packing facility. If the packing process is all done by machines without human inspection to pick out any rotten mangos, what would be the probability of having at most 2 rotten mangos packed in a box of 12?

10. We have 7 boys and 3 girls in our church choir. There is an upcoming concert in the local town hall. Unfortunately, we can only have 5 youths in this performance. This performance team of 5 has to by picked randomly from the crew of 7 boys and 3 girls.

a. (5 points) What is the probability that all 3 girls are picked in this team of 5?

?

b. (5 points) What is the probability that none of the girls are picked in this team of 5?

c. (5 points) What is the probability that 2 of the girls are picked in this team of 5?

11. (15 points) A soda company want to stimulate sales in this economic climate by giving customers a chance to win a small prize for every bottle of soda they buy. There is a 20% chance that a customer will find a picture of a dancing banana ( ) at the bottom of the cap upon opening up a bottle of soda. The customer can then redeem that bottle cap with this picture for a small prize. Now, if I buy a 6-pack of soda, what is the probability that I will win something, i.e., at least win a single small prize?

12. (15 points) A department store manager has decided that dress code is necessary for team coherence. Team members are required to wear either blue shirts or red shirts. There are 9 men and 7 women in the team. On a particular day, 5 men wore blue shirts and 4 other wore red shirts, whereas 4 women wore blue shirts and 3 others wore red shirt. Apply the Addition Rule to determine the probability of finding men or blue shirts in the team.

Tags solutions problems stats maths points team probability shirts blue mean picked wore soda mangos standard deviation selected prize randomly town small bottle customer boys girls department trainees girlsare immunity performance rotten local chance visit

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MATHS_-_STATS_PROBLEMS_WITH_SOLUTIONS_mcq_and_essay.docx (331.77 KB)
Preview: in xxxxxxx of xxxx 18 A x 4B 9 xx 6 xx x 2 x (5 points) xxx incomes of xxxxxxxx at x xxxxx mill xxx normally distributed xxxx a mean xx $1100 xxx x standard xxxxxxxxx of $120 xxxx percentage of xxxxxxxx earn xxxx xxxx $900 x month?A 74 xxx 9 18%C xx 82%D x xxx 8 xx points) For x standard normal xxxxxxxxxxxxx find xxx xxxxxxxxxx of xxxx that are xxxxxxx 3 standard xxxxxxxxxx below xxx xxxx and x standard deviation xxxxx the mean x 84 xxxx xx 33%C xx 59%D 15 xxxxxxxxxxxxx between ±3 xxxxxxxx deviations x xx 73% xxxxxxxxxx between ±2 xxxxxxxx deviations = xx 45% xxxxxxxxxx xxxx -3 xx +2 standard xxxxxxxxxx = (1/2)(99 xx + xx xxx = xx 59%SHORT ANSWER xxxxx the word xx phrase xxxx xxxx completes xxxx statement or xxxxxxx the question xxxxxxx percents xx xxxxxxxx Round xxxxxx amounts to xxx nearest cent x (15 xxxxxxx xxxx of xx hate buying xxxxxx that are xxxxxx too xxxxx xxxxxxxxxxxxxx by xxxxxxx until the xxxxxx are almost xxxx to xxxx xxxxxxx a xxxx of having xx of the xxxxxx rot xxxx xxxxxxx at xxx packing facility xx the packing xxxxxxx is xxx xxxx by xxxxxxxx without human xxxxxxxxxx to pick xxx any xxxxxx xxxxxxx what xxxxx be the xxxxxxxxxxx of having xx most x xxxxxx mangos xxxxxx in a xxx of 12?The xxxxxxxxxxx of.....
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