A lab orders 100 rats per week for each of the 52 weeks in the year

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Question 1

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If n= 10 and p= 0.70, then the mean of the binomial distribution is

    

Question 1 answers

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0.07

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1.45.

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7.00

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14.29

    

 

Question 2 text Question 2

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In a binomial distribution

    

Question 2 answers

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the random variable is continuous.

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the probability of success pis stable from trial to trial.

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the number of trials nmust be at least 30.

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the results of one trial are dependent on the results of the other trials.

    

 

Question 3 text Question 3

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In a Poisson distribution, the mean and standard deviation are equal.

    

Question 3 answers

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True

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False

    

 

Question 4 text Question 4

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A lab orders 100 rats per week for each of the 52 weeks in the year. Suppose the mean cost of rats is $13.00 per week. Interpret this value.

    

Question 4 answers

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Most of the weeks resulted in rat costs of $13.00.

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The median cost for the rats is $13.00.

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The expected weekly cost for all rat purchases is $13.00.

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The rat cost that occurs more often than any other is $13.00.

    

 

Question 5 text Question 5

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A campus program evenly enrolls undergraduate and graduate students. If a random sample of 4 students is selected from the program to be interviewed about the introduction of a new fast food outlet on the ground floor of the campus building, what is the probability that all 4 students selected are undergraduate students?

    

Question 5 answers

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0.0256

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0.0625

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0.16

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1.00

    

 

Question 6 text Question 6

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Suppose that the number of airplanes arriving at an airport per minute is a Poisson process. The average number of airplanes arriving per minute is 3. The probability that exactly 6 planes arrive in the next minute is 0.0504.

    

Question 6 answers

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True

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False

    

 

Question 7 text Question 7

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In a Poisson distribution, the mean and variance are equal.

    

Question 7 answers

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True

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False

    

 

Question 8 text Question 8

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On the average, 1.8 customers per minute arrive at any one of the checkout counters of a grocery store. What type of probability distribution can be used to find out the probability that there will be no customer arriving at a checkout counter?

    

Question 8 answers

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binomial distribution.

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Poisson distribution.

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cumulative distribution.

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none of the above.

    

 

Question 9 text Question 9

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If the outcome of event Ais not affected by event B, then events Aand Bare said to be

    

Question 9 answers

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mutually exclusive.

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statistically independent.

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collectively exhaustive.

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None of the above.

    

 

Question 10 text Question 10

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Mothers Against Drunk Driving is a very visible group whose main focus is to educate the public about the harm caused by drunk drivers. A study was recently done that emphasized the problem we all face with drinking and driving. Four hundred accidents that occurred on a Saturday night were analyzed. Two items noted were the number of vehicles involved and whether alcohol played a role in the accident.

Referring to TABLE 4-1, what proportion of accidents involved alcohol and a single vehicle?

 

    

Question 10 answers

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25/400 or 6.25%

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50/400 or 12.5%

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195/400 or 48.75%

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245/400 or 61.25%

    

 

Question 11 text Question 11

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The employees of a company were surveyed on questions regarding their educational background and marital status. Of the 600 employees, 400 had college degrees, 100 were single, and 60 were single college graduates. The probability that an employee of the company has a college degree is:

    

Question 11 answers

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0.10

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0.25

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0.67

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0.73

    

 

Question 12 text Question 12

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If two events are collectively exhaustive, what is the probability that both occur at the same time?

    

Question 12 answers

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0.

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0.50.

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1.00.

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Cannot be determined from the information given.

    

 

Question 13 text Question 13

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The probability that a new advertising campaign will increase sales is assessed as being 0.80. The probability that the cost of developing the new ad campaign can be kept within the original budget allocation is 0.40. Assuming that the two events are independent, the probability that the cost is kept within budget and the campaign will increase sales is:

    

Question 13 answers

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0.20

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0.32

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0.40

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0.88

    

 

Question 14 text Question 14

4 points

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If two events are mutually exclusive and collectively exhaustive, what is the probability that both occur at the same time?

    

Question 14 answers

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0.

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0.50.

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1.00.

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Cannot be determined from the information given.

    

 

Question 15 text Question 15

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According to a survey of American households, the probability that the residents own 2 cars is 80%, given annual income is over $25,000.

Of the households surveyed, 60% had incomes over $25,000; 70% owned 2 cars.

Given the knowledge that the residents of a given household do NOT own 2 cars, what is the probability that their annual household income is over $25,000?

    

Question 15 answers

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0.12

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0.18

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0.7

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0.26

   

My answer for this is 0.4

    

 

Question 16 text Question 16

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According to a survey of American households, the probability that the residents own 2 cars is 80%, given annual income is over $25,000.

Of the households surveyed, 60% had incomes over $25,000; 70% owned 2 cars.

What is the probability that the residents of a household do NOT own 2 cars and have an income over $25,000?

    

Question 16 answers

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0.12

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0.18

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0.22

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0.48

    

 

Question 17 text Question 17

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The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. A citation catfish should be one of the top 2% in weight.
Assuming the weights of catfish are normally distributed, at what weight (in pounds) should the citation designation be established?

    

Question 17 answers

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1.56 pounds

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4.84 pounds

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5.20 pounds

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7.36 pounds

    

 

Question 18 text Question 18

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The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, above what weight (in pounds) do 89.80% of the weights occur?

    

Question 18 answers

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2.124 pounds

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1.124 pounds

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3.124 pounds

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2.184 pounds

    

 

Question 19 text Question 19

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A company that sells annuities must base the annual payout on the probability distribution of the length of life of the participants in the plan. Suppose the probability distribution of the lifetimes of the participants is approximately a normal distribution with a mean of 68 years and a standard deviation of 3.5 years. Find the age at which payments have ceased for approximately 86% of the plan participants.

    

Question 19 answers

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72.12

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45.26

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71.78

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62.42

    

 

Question 20 text Question 20

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If we know that the length of time it takes college students to park their cars follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will take between 2 and 4.5 minutes to find a parking spot in the library parking lot.

    

Question 20 answers

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0.0919

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0.2255

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0.4938

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0.7745

    

 

Question 21 text Question 21

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In its standardized form, the normal distribution has:

    

Question 21 answers

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a mean of 0 and a standard deviation of 1.

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a mean of 1 and a variance of 0.

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an area equal to 0.5.

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None of the above are correct.

    

 

Question 22 text Question 22

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The owner of a fish market determined that the average weight for a catfish is 3.2 pounds with a standard deviation of 0.8 pound. Assuming the weights of catfish are normally distributed, the probability that a randomly selected catfish will weigh less than 2.2 pounds is _______?

    

Question 22 answers

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0.1253

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0.1056

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0.0124

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0.2145

    

 

Question 23 text Question 23

4 points

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For some positive value of X, the probability that a standard normal variable is between 0 and 2Xis 0.1255. The value of Xis

    

Question 23 answers

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0.99

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0.40

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0.32

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0.16

    

 

Question 24 text Question 24

4 points

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The probability that a standard normal random variable, Z, is between 1.00 and
3.00 is 0.1574.

    

Question 24 answers

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True

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False

    

 

 

Question 25 text Question 25

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True or False: The "middle spread," that is the middle 50% of the normal distribution, is equal to one standard deviation.

    

Question 25 answers

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True

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False

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