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Question 1 of 40 2.5 Points The distribution of .A. degrees

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Question 1 of 40 2.5 Points The distribution of B.A. degrees conferred by a local college is listed below, by major. Major Frequency English 2073 Mathematics 2164 Chemistry 318 Physics 856 Liberal Arts 1358 Business 1676 Engineering 868 9313 What is the probability that a randomly selected degree is not in Business? A. 0.7800 B. 0.8200 C. 0.8300 D. 0.9200 Question 2 of 40 Suppose you buy 1 ticket for $1 out of a lottery of 1000 tickets where the prize for the one winning ticket is to be $500. What is your expected value? A. $0.00 B. −$0.40 C. −$1.00 D. −$0.50 Question 3 of 40 Suppose you pay $1.00 to roll a fair die with the understanding that you will get back $3.00 for rolling a 5 or a 2, nothing otherwise. What is your expected value? A. $1.00 B. $0.00 C. $3.00 D. −$1.00 Question 4 of 40 Suppose you have an extremely unfair coin: the probability of a head is 1/3 and the probability of a tail is 2/3. If you toss the coin 72 times, how many heads do you expect to see? A. 12 B. 22 C. 24 D. 26 Question 5 of 40 A bag contains 4 red marbles, 3 blue marbles, and 7 green marbles. If a marble is randomly selected from the bag, what is the probability that it is blue? A. 2/11 B. 3/11 C. 5/14 D. 3/14 Question 6 of 40 Suppose you have an extremely unfair die: The probability of a 6 is 3/8, and the probability of each other number is ***** If you toss the die 32 times, how many twos do you expect to see? A. 2 B. 4 C. 3 D. 5 Question 7 of 40 If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least two tails? A. ½ B. 2/3 C. 3/4 D. 4/9 Question 8 of 40 Of 1308 people who came into a blood bank to give blood, 314 people had high blood pressure. Estimate the probability that the next person who comes in to give blood will have high blood pressure (to 3 decimal places). A. 0.250 B. 0.490 C. 0.240 D. 0.160 Question 9 of 40 A class consists of 50 women and 82 men. If a student is randomly selected, what is the probability that the student is a woman? A. 32/132 B. 27/66 C. 50/132 D. 82/132 Question 10 of 40 On a multiple choice test, each question has 6 possible answers. If you make a random guess on the first question, what is the probability that you are correct? A. 1/5 B. 1/6 C. 1/4 D. 2/5 Question 11 of 40 Jody checked the temperature 12 times on Monday, and the last digit of the temperature was odd six times more than it was even. On Tuesday, she checked it 18 times and the last digit was odd eight times more than it was even. Determine which series is closer to the 50/50 ratio of odd/even expected of such a series of temperature checks. A. The Monday series is closer because 1/6 is closer to 1/2 than is 1/8. B. The Monday series is closer because 6/12 is closer to 0.5 than is 8/18. C. The Tuesday series is closer because the 13/18 is closer to 0.5 than is 9/12. D. The series closest to the theoretical 50/50 cannot be determined without knowing the number of odds and evens in each series. Question 12 of 40 Based on meteorological records, the probability that it will snow in a certain town on January 1st is 0.413. Find the probability that in a given year it will not snow on January 1st in that town. A. 0.345 B. 0.425 C. 0.587 D. 0.592 Question 13 of 40 Suppose you have an extremely unfair coin: the probability of a head is 1/5, and the probability of a tail is 4/5. If you toss the coin 40 times, how many heads do you expect to see? A. 8 B. 6 C. 5 D. 4 Question 14 of 40 A 28-year-old man pays $125 for a one-year life insurance policy with coverage of $140,000. If the probability that he will live through the year is 0.9994, to the nearest dollar, what is the man’s expected value for the insurance policy? A. $139,916 B. −$41 C. $84 D. −$124 Question 15 of 40 The data set represents the income levels of the members of a country club. Estimate the probability that a randomly selected member earns at least $98,000. 112,000 126,000 90,000 133,000 94,000 112,000 98,000 82,000 147,000 182,000 86,000 105,000 140,000 94,000 126,000 119,000 98,000 154,000 78,000 119,000 A. 0.4 B. 0.6 C. 0.66 D. 0.7 Question 16 of 40 If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability of getting at least one head? A. 4/9 B. 5/6 C. 7/8 D. 5/8 Question 17 of 40 A die with 12 sides is rolled. What is the probability of rolling a number less than 11? Is this the same as rolling a total less than 11 with two six-sided dice? Explain. A. 2/6 B. 3/6 C. 4/6 D. 5/6 Question 18 of 40 A sample space consists of 46 separate events that are equally likely. What is the pr

A sample space consists of 46 separate events that are equally likely. What is the probability of each?

A. 1/24 B. 1/46 C. 1/32 D. 1/18

Question 19 of 40

If you flip a coin three times, the possible outcomes are HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. What is the probability that at least two heads occur consecutively?

A. 1/8 B. 3/8 C. 5/8 D. 6/8

Question 20 of 40

Joe dealt 20 cards from a standard 52-card deck, and the number of red cards exceeded the number of black cards by 8. He reshuffled the cards and dealt 30 cards. This time, the number of red cards exceeded the number of black cards by 10. Determine which deal is closer to the 50/50 ratio of red/black expected of fairly dealt hands from a fair deck and why.

A. The first series is closer because 1/10 is farther from 1/2 than is 1/8.

B. The series closer to the theoretical 50/50 cannot be determined unless the number of red and black cards for each deal is given.

C. The second series is closer because 20/30 is closer to 1/2 than is 14/20.

D. The first series is closer because the difference between red and black is smaller than the difference in the second series.

Question 21 of 40

Among a random sample of 150 employees of a particular company, the mean commute distance is 29.6 miles. This mean lies 1.2 standard deviations above the mean of the sampling distribution. If a second sample of 150 employees is selected, what is the probability that for the second sample, the mean commute distance will be less than 29.6 miles?

A. 0.8849 B. 0.5 C. 0.1131 D. 0.1151

Question 22 of 40

A random sample of 30 households was selected from a particular neighborhood. The number of cars for each household is shown below. Estimate the mean number of cars per household for the population of households in this neighborhood. Give the 95% confidence interval.

A. 1.14 to 1.88 B. 1.12 to 1.88 C. 1.12 to 1.98 D. 1.14 to 1.98

Question 23 of 40

Eleven female college students are selected at random and asked their heights. The heights (in inches) are as follows:

67, 59, 64, 69, 65, 65, 66, 64, 62, 64, 62

Estimate the mean height of all female students at this college. Round your answer to the nearest tenth of an inch if necessary.

A. It is not possible to estimate the population mean from this sample data

B. 64.3 inches C. 64.9 inches D. 63.7 inches

Question 24 of 40

A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 490 college students showed that 33% of them had, or intended to, cheat on examinations. Find the margin of error for the 95% confidence interval.

A. 0.0432 B. 0.0434 C. 0.0425 D. 0.04

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Question 26 of 40

A sample of 64 statistics students at a small college had a mean mathematics ACT score of 28 with a standard deviation of 4. Estimate the mean mathematics ACT score for all statistics students at this college. Give the 95% confidence interval.

A. 28.0 to 30.0 B. 25.0 to 27.0 C. 29.0 to 31.0 D. 27.0 to 29.0

Question 32 of 40

A researcher wishes to estimate the proportion of college students who cheat on exams. A poll of 560 college students showed that 27% of them had, or intended to, cheat on examinations. Find the 95% confidence interval.

A. 0.2323 to 0.3075 B. 0.2325 to 0.3075 C. 0.2325 to 0.3185 D. 0.2323 to 0.3185

Question 34 of 40

2.5 Points

In a poll of 400 voters in a certain state, 61% said that they opposed a voter ID bill that might hinder some legitimate voters from voting. The margin of error in the poll was reported as 4 percentage points (with a 95% degree of confidence). Which statement is correct?

A. The reported margin of error is consistent with the sample size.

B. There is not enough information to determine whether the margin of error is consistent with the sample size.

C. The sample size is too small to achieve the stated margin of error.

D. For the given sample size, the margin of error should be smaller than stated.

Question 36 of 40

Sample size = 400, sample mean = 44, sample standard deviation = 16. What is the margin of error?

A. 1.4 B. 1.6 C. 2.2 D. 2.6

Question 38 of 40

2.5 Points

30% of the fifth grade students in a large school district read below grade level. The distribution of sample proportions of samples of 100 students from this population is normal with a mean of 0.30 and a standard deviation of 0.045. Suppose that you select a sample of 100 fifth grade students from this district and find that the proportion that reads below grade level in the sample is 0.36. What is the probability that a second sample would be selected with a proportion less than 0.36?

A. 0.8932 B. 0.8920 C. 0.9032 D. 0.9048

Question 39 of 40

Monthly incomes of employees at a particular company have a mean of $5954. The distribution of sample means for samples of size 70 is normal with a mean of $5954 and a standard deviation of $259. Suppose you take a sample of size 70 employees from the company and find that their mean monthly income is $5747. How many standard deviations is the sample mean from the mean of the sampling distribution?

A. 0.8 standard deviations above the mean B. 0.8 standard deviations below the mean

C. 7.3 standard deviations below the mean D. 207 standard deviations below the mean