ALLIED MAT130 MODULE 3 check your understanding

Question

1. Answer the question. Find the odds against correctly guessing the answer to a multiple choice question with 7 possible answers.

a. 7 : 1

b. 7 : 6

c. 6 : 7

d. 6 : 1

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2. Express the indicated degree of likelihood as a probability value between 0 and 1. When rolling a single die at the Venetian Casino in Las Vegas, there are 6 chances in 36 that the outcome is a 7.

a. 0.167

b. 0.857

c. 0.194

d. 0.361

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3. Solve the problem. According to a college survey, 22% of all students work full time. Find the standard deviation for the number of students who work full time in samples of size 16.

a. 3.5

b. 1.7

c. 2.6

d. 1.9

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4. Fly Best Airlines boasts that this year among 316 flights from Los Angeles to New York City 310 arrived on time. What is the probability that the next flight on Fly Best from Los Angeles to New York City will be on time?

a. 0.891

b. 0.971

c. 0.918

d. 0.981

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5. Answer the question. What is the probability of an impossible event?

a. 0

b. 0.75

c. 1

d. -1

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6. Provide an appropriate response. In a game, you have a 1/33 probability of winning $121 and a 32/33 probability of losing $7. What is your expected value?

a. -$6.79

b. $3.67

c. $10.45

d. -$3.12

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7. If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap years.

a. 1/365

b. 1/12

c. 1/31

d. 31/365

.

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8. Find the indicated probability. Round to the nearest thousandth. A study conducted at a certain college shows that 52% of the school's graduates find a job in their chosen field within a year after graduation. Find the probability that among 8 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

a. 0.125

b. 0.995

c. 0.520

d. 0.997

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9. On a multiple choice test with 7 questions, each question has four possible answers, one of which is correct. For students who guess at all answers, find the standard deviation for the number of correct answers.

a. 1.7

b. 1.3

c. 13.1

d. 1.1

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10. Solve the problem. A company manufactures batteries in batches of 13 and there is a 3% rate of defects. Find the mean number of defects per batch.

a. 0.4

b. 12.6

c. 3.9

d. 39

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11. Find the indicated mean. The mean number of homicides per year in one city is 37.2. Suppose a Poisson distribution will be used to find the probability that on a given day there will be fewer than 4 homicides. Find the mean of the appropriate Poisson distribution (the mean number of homicides per day). Round your answer to four decimal places.

a. 37.2

b. 0.102

c. 0.715

d. 9.3

.

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12. Answer the question. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability of success on a single trial. n = 9, x = 2, p = 0.35

a. 0.019

b. 0.216

c. 0.432

d. 0.254

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13. Find the indicated probability. The brand name of a certain chain of coffee shops has a 53% recognition rate in the town of Coffleton. An executive from the company wants to verify the recognition rate as the company is interested in opening a coffee shop in the town. He selects a random sample of 7 Coffleton residents. Find the probability that exactly 4 of the 7 Coffleton residents recognize the brand name.

a. 0.00819

b. 0.287

c. 0.0789

d. 0.254

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14. Express the indicated degree of likelihood as a probability value between 0 and 1. When playing roulette in the Mirage Casino, you have 18 chances out of 38 of winning if you bet that the outcome is an odd number.

a. 0.526

b. 0.679

c. 0.500

d. 0.474

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15. Suppose you are playing a game of chance. If you bet $4 on a certain event, you will collected $172 (including your $4 bet) if you win. Find the odds used for determining the payoff.

a. 42 : 1

b. 43 : 1

c. 172 : 176

d. 1 : 42