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#### All Subjects Mathematics Calculus

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# calculas probability bank -Seven slips of paper marked with the numbers

Question # 00008016
Subject: Mathematics
Due on: 02/28/2014
Posted On: 02/07/2014 12:05 AM

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Question
1. Seven slips of paper marked with the numbers 1, 2, 3, 4, 5, 6, and 7 are placed in a box and mixed well. Two are drawn. What are the odds that the sum of the numbers on the two selected slips is 7?

2 to 21

1 to 7

1 to 6

1 to 9
1 points
Question 2
1. If a card is selected randomly from a standard 52-card deck, what is the probability that we draw a five?

Question 3
1. A pair of fair dice are rolled. Let E be the event that a five shows on the second die. Let F be the event that the total showing is odd. Are E and F dependent events?

no

yes

Question 4
1. If a single card is drawn from a standard 52-card deck, what is the probability that it is either a six or a club?

Question 5
1. Find the probability If P(A ? B) = 0.62, P(A) = 0.34, and P(B) = 0.47, find P(A ? B).

0.15

0.6

0.31

0.19

Question 6
1. For a school project, Sue interviewed a total of 100 persons who were either lawyers or salesmen. She asked them if they were happy or unhappy with their occupation. Of the 55 lawyers interviewed, 12 were unhappy, however, only 7 of the salesmen were unhappy. Suppose that one of the persons interviewed is selected at random. Find the probability that the person selected is happy.

0.81

0.78

0.88

0.84

Question 7
1. A box contains 26 blue marbles, 16 green marbles, and 8 red marbles. Two marbles are selected at random without replacement. Let E be the event that the first marble selected is green. Let F be the event that the second marble selected is green. Find P(F|E) .

Question 8
1. We roll a pair of dice. If the sum of the dice is 7, you pay me \$25. If the sum is not 7, I pay you the number of dollars indicated by the sum of the dice. What is your expected value for the game?

-\$1.67

\$1.67

-\$8.33

\$8.33

Question 9
1. If nine fair coins are tossed, what is the probability of obtaining at least one head and at least one tail? (Use the complement formula)

Question 10
1. A survey revealed that 45% of people are entertained by reading books, 25% by watching TV, and 14% are entertained by both books and TV. What is the probability that a person will be entertained by books given that the person is entertained by TV? Give results to the nearest tenth of a percent.

0.25

0. 45

0.560

0.311
11 . Find the standard deviation for the following set of data: 110, 145, 129, 196, 156, 133, 100, 108, 203. (Round to one more place than the data)

17.8

35.0

39.7

37.1

12. Assume that among the members of a men's gym, the distribution of body weights has a mean of 188 pounds and a standard deviation of 7. If 267 men belong to the gym, how many of them do you expect to be over 200 pounds?

13. Suppose for a given month that the mean daily closing price (all numbers in dollars) for Expensive, Inc. common stock was 143.1 with a standard deviation of 18.6. For Cheap, Inc. stock, the mean daily closing price was 82.5 with a standard deviation of 8.2. Which stock was more volatile (i.e., had a greater coefficient of variation)?

Cheap, Inc.

Expensive, Inc
Calculate the linear correlation coefficient for the following values: (2, 11),(2, 6),(10, 6),(18, 2)

0.83

0.81

-0.83

-0.81
14. Use a table to find the percentage of the area under the standard normal curve between the values: z = 0 and z = 1.12 (Round your answer to the nearest tenth)

38.9%

36.4%

34.6%

36.9%
15. Assume that a distribution has a mean of 24 and a standard deviation of 6. What percentage of the values in the distribution do we expect to fall below 12? Assume that the given distribution is normal.

17%

5%

2.5%

25%

Question 16
1. Use the table below to determine whether we can be 95% or 99% confident that there is significant linear correlation between x and y.
(5, 6), (7, 8), (9, 10), (11 11),(12, 13)

We can be 95% confident.

neither

We can be 99% confident.

Question 17
1. Assume that a distribution has a mean of 23 and a standard deviation of 6. What percentage of the values in the distribution do we expect to fall between 23 and 35? Assume that the given distribution is normal.

5%

47.5%

25%

95%
Find the line of best fit for the following data.
(24, 15), (26, 13), (28, 20), (30, 16), (32, 24)

y = 1.05x + 11.8

y = 1.05x - 11.8

y = -1.05x + 11.8

y = -1.05x - 11.8
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#### calculas probability bank -Seven slips of paper marked with the numbers

Tutorial # 00007638
Posted On: 02/07/2014 12:10 AM
Posted By:
spqr
Questions:
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Tutorial Preview …one xx each) x 1 β xxxxx = 255/266 xx books xxx xxxxx TOTAL xx 0 14 x 11 0 xx not xx x 31 x 44 0 xx TOTAL 0 xx 0 xx x (black xxxxxxx given; red xxxxxxx calculated) So xxx answer xx x 14/0 xx = 56% xx Using Excel, xx 1 xx x = xx - mu)/sigma x = (200 x 188)/7 x x 12/7 x = 1 xx Using Excel xxxxxxxxxx p x x 9568 xxx since we xxxx "greater than," xx need xx xxxxxxxx the xxxxxxxxxxx from 1 x = 1 x 0 xxxx x 0 xxxx 267 * x 0432 = xx 5, xx xxx best xxxxxx isβ 11…
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stat_prob.docx (15.22 KB)
Preview: number xx possible xxxxxxxxxxxxxxxxxxx = n! xxx (n - xxxxxxxxx = xx xxx (7 x 2)!C(7,2) = xxxxxx * 5!) x 21Then xxxx xxxxxx of xxxxxxxxxxxx that add xx 7 = x combination xxxxx xxxx 3, xxxx the odds xxx 3:18, or xxxx 4/52 x xxxxx Yes4 xx + 13 xxx 1) / xx = xxxxx x 4/135 x 47 + x 34 β x 62 x x 196(100 xxx 7 β x ).....
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