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Question 1 (1 point) The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15

Question 1 (1 point)

The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes. What is the probability that a person waits more than 10 minutes?

Question 1 options:

a)

1.00

b)

0.33

c)

0.67

d)

0.00

Question 2 (1 point)

The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes. What is the probability that a person waits between 6 and 9 minutes?

Question 2 options:

a)

0.67

b)

0.20

c)

1.00

d)

0.00

Question 3 (1 point)

The amount of time, in minutes, that a person must wait for a bus is uniformly distributed between zero and 15 minutes. What is the variance of the waiting time?

Question 3 options:

a)

5.0

b)

18.75

c)

7.5

d)

15.0

Question 4 (1 point)

Let X = the amount of time (in minutes) a postal clerk spends with a customer. The time is known from historical data to follow the exponential distribution with an average amount of time equal to four minutes. What is the probability that X equals to four minutes exactly?

Question 4 options:

a)

0.25

b)

0.50

c)

0.75

d)

0.00

Question 5 (1 point)

Let X = the amount of time (in minutes) a postal clerk spends with a customer. The time is known from historical data to follow the exponential distribution with an average amount of time equal to four minutes. What is the probability that P(3.5

Question 5 options:

a)

0.19

b)

0.22

c)

0.09

d)

0.00

Question 6 (1 point)

Let X = the amount of time (in minutes) a postal clerk spends with a customer. The time is known from historical data to follow the exponential distribution with an average amount of time equal to four minutes. What is probability that P(X>4.0)?

Question 6 options:

a)

0.60

b)

0.50

c)

0.17

d)

0.37

Question 7 (1 point)

On average, a pair of running shoes can last 18 months if used every day. The length of time running shoes last is exponentially distributed. What is the probability that a pair of running shoes last more than 18 months?

Question 7 options:

a)

0.13

b)

0.37

c)

0.23

d)

0.50

Question 8 (1 point)

Suppose that the time between arrivals at a store is exponentially distributed with an average of 10 minutes. What is the probability that there are exactly six customer arrivals within one hour?

Question 8 options:

a)

0.36

b)

0.16

c)

0.26

d)

0.06

Question 9 (1 point)

The final exam scores in a statistics class were normally distributed with a mean of 63 and a standard deviation of 5. What is the probability that a randomly selected student scored less than 70 on the exam?

Question 9 options:

a)

0.66

b)

0.92

c)

1.00

d)

0.00

Question 10 (1 point)

A personal computer is used for office work at home, research, communication, personal finances, education, entertainment, social networking, and a myriad of other things. Suppose that the average number of hours a household personal computer is used for entertainment is two hours per day. Assume the times for entertainment are normally distributed and the standard deviation for the times is half an hour. What is the probability a household personal computer is used for entertainment between 1.8 and 2.2 hours per day?

Question 10 options:

a)

1.00

b)

0.34

c)

0.66

d)

0.31

Question 11 (1 point)

A personal computer is used for office work at home, research, communication, personal finances, education, entertainment, social networking, and a myriad of other things. Suppose that the average number of hours a household personal computer is used for entertainment is two hours per day. Assume the times for entertainment are normally distributed and the standard deviation for the times is half an hour. What is the probability a household personal computer is used for entertainment more than 2.0 hours per day?

Question 11 options:

a)

1.00

b)

0.66

c)

0.31

d)

0.50

Question 12 (1 point)

Statistics Canada reports that per capita solid waste generation in Canada amounted to 2.7 kg per day. Suppose the daily amount of waste generated per person is normally distributed with a mean of 2.7 kg and a standard deviation of 0.5 kg. Of the daily amount of waste generated per person, 95% would be greater than what amount?

Question 12 options:

a)

1.88

b)

None of the other options

c)

2.70

d)

3.52

Question 13 (1 point)

Statistics Canada reports that per capita solid waste generation in Canada amounted to 2.7 kg per day. Suppose the daily amount of waste generated per person is normally distributed with a mean of 2.7 kg and a standard deviation of 0.5 kg. Of the daily amount of waste generated per person, 60% would be less than what amount?

Question 13 options:

a)

1.88

b)

None of the other options

c)

2.83

d)

2.70

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