Question 1

The assembly time for a product is uniformly distributed between 6 and 10 minutes. The probability density function has what value in the interval between 6 and 10?

Accepted Answer

A)   .25
B)   4.00
C)   5.00
D)   0E) B) and C)
F) None of the above

Question 2

The assembly time for a product is uniformly distributed between 6 and 10 minutes. The expected assembly time (in minutes)  is _____.

Accepted Answer

A)   16
B)   2
C)   8
D)   4E) A) and B)
F) All of the above

Question 3

The mean, median, and mode have the same value for which of the following probability distributions?

Accepted Answer

A)   uniform
B)   normal
C)   exponential
D)   PoissonE) A) and B)
F) A) and C)

Question 4

The mean of a standard normal probability distribution _____.

Accepted Answer

A)   is always equal to 1
B)   can be any value as long as it is positive
C)   can be any value
D)   None of the answers is correct.E) C) and D)
F) A) and B)

Question 5

There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.

Accepted Answer

A)   uniform
B)   normal
C)   exponential
D)   binomialE) None of the above
F) A) and D)

Question 6

Assume z is a standard normal random variable. Then P(1.20 ≤ z ≤ 1.85)  equals _____.

Accepted Answer

A)   .4678
B)   .3849
C)   .8527
D)   .0829E) A) and B)
F) B) and D)

Question 7

A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is _____.

Accepted Answer

A)   different for each interval
B)   the same for each interval
C)   either different or the same depending on the magnitude of the standard deviation
D)   None of the answers is correct.E) None of the above
F) A) and B)

Question 8

Assume z is a standard normal random variable. Then P(-1.20 ≤ z ≤ 1.50)  equals _____.

Accepted Answer

A)   .0483
B)   .3849
C)   .4332
D)   .8181E) All of the above
F) A) and B)

Question 9

Assume z is a standard normal random variable. Then P(-1.96 ≤ z ≤ -1.4)  equals _____.

Accepted Answer

A)   .8942
B)   .0558
C)   .475
D)   .4192E) B) and D)
F) A) and B)

Question 10

Excel's EXPON.DIST function has how many inputs?

Accepted Answer

A)   2
B)   3
C)   4
D)   5E) None of the above
F) B) and D)

Question 11

For the standard normal probability distribution, the area to the left of the mean is _____.

Accepted Answer

A)   -.5
B)   0.5
C)   any value between 0 and 1
D)   1E) All of the above
F) A) and D)

Question 12

Assume z is a standard normal random variable. Then P(z ≥ 2.11)  equals _____.

Accepted Answer

A)   .4821
B)   .9821
C)   .5
D)   .0174E) B) and C)
F) A) and D)

Question 13

For a uniform probability density function, the height of the function _____.

Accepted Answer

A)   cannot be larger than1
B)   is the same for each value of x
C)   is different for various values of x
D)   decreases as x increasesE) A) and B)
F) None of the above

Question 14

In a standard normal distribution, the range of values of z is from _____.

Accepted Answer

A)   minus infinity to infinity
B)   -1 to 1
C)   0 to 1
D)   -3.09 to 3.09E) A) and D)
F) C) and D)

Question 15

Assume z is a standard normal random variable. Then P(-1.5 ≤ z ≤ 1.09)  equals _____.

Accepted Answer

A)   .4322
B)   .3621
C)   .7953
D)   .0711E) A) and B)
F) A) and D)

Question 16

Excel's NORM.S.INV function can be used to compute _____.

Accepted Answer

A)   cumulative probabilities for a standard normal z value
B)   the standard normal z value given a cumulative probability
C)   cumulative probabilities for a normally distributed x value
D)   the normally distributed x value given a cumulative probabilityE) A) and C)
F) A) and D)

Question 17

For a standard normal distribution, the probability of obtaining a z value between -1.9 and 1.7 is _____.

Accepted Answer

A)   .9267
B)   .4267
C)   1.4267
D)   .5000E) All of the above
F) B) and D)

Question 18

The assembly time for a product is uniformly distributed between 6 and 10 minutes. The standard deviation of assembly time (in minutes)  is approximately _____.

Accepted Answer

A)   .33
B)   .13
C)   16
D)   None of the answers is correct.E) A) and B)
F) B) and C)

Question 19

The average starting salary of this year's MBA students is $35,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and maximum starting salaries of the middle 95% of MBA graduates?

Accepted Answer

minimum = ...

Question 20

The ages of students at a university are normally distributed with a mean of 21. What percentage of the student body is at least 21 years old?

Accepted Answer

A)   It could be any value, depending on the magnitude of the standard deviation.
B)   50%
C)   21%
D)   1.96%E) C) and D)
F) All of the above

Exam 6: Continuous Probability Distributions

There is a lower limit but no upper limit for a random variable that follows the _____ probability distribution.

Correct AnswerverifiedShow Answer

Excel's NORM.S.INV function can be used to compute _____.

Correct AnswerverifiedShow Answer

The average starting salary of this year's MBA students is $35,000 with a standard deviation of $5,000. Furthermore, it is known that the starting salaries are normally distributed. What are the minimum and maximum starting salaries of the middle 95% of MBA graduates?

Correct Answerverifiedminimum = ...View AnswerShow Answer

The mean of a standard normal probability distribution _____.

Correct AnswerverifiedShow Answer

Assume z is a standard normal random variable. Then P(-1.96 ≤ z ≤ -1.4) equals _____.

Correct AnswerverifiedShow Answer

The assembly time for a product is uniformly distributed between 6 and 10 minutes. The probability density function has what value in the interval between 6 and 10?

Correct AnswerverifiedShow Answer

Assume z is a standard normal random variable. Then P(-1.5 ≤ z ≤ 1.09) equals _____.

Correct AnswerverifiedShow Answer

For a uniform probability density function, the height of the function _____.

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A uniform probability distribution is a continuous probability distribution where the probability that the random variable assumes a value in any interval of equal length is _____.

Correct AnswerverifiedShow Answer

In a standard normal distribution, the range of values of z is from _____.

Correct AnswerverifiedShow Answer

The ages of students at a university are normally distributed with a mean of 21. What percentage of the student body is at least 21 years old?

Correct AnswerverifiedShow Answer

Assume z is a standard normal random variable. Then P(-1.20 ≤ z ≤ 1.50) equals _____.

Correct AnswerverifiedShow Answer

Assume z is a standard normal random variable. Then P(1.20 ≤ z ≤ 1.85) equals _____.

Correct AnswerverifiedShow Answer

The assembly time for a product is uniformly distributed between 6 and 10 minutes. The standard deviation of assembly time (in minutes) is approximately _____.

Correct AnswerverifiedShow Answer

The mean, median, and mode have the same value for which of the following probability distributions?

Correct AnswerverifiedShow Answer

Excel's EXPON.DIST function has how many inputs?

Correct AnswerverifiedShow Answer

For the standard normal probability distribution, the area to the left of the mean is _____.

Correct AnswerverifiedShow Answer

For a standard normal distribution, the probability of obtaining a z value between -1.9 and 1.7 is _____.

Correct AnswerverifiedShow Answer

Assume z is a standard normal random variable. Then P(z ≥ 2.11) equals _____.

Correct AnswerverifiedShow Answer

The assembly time for a product is uniformly distributed between 6 and 10 minutes. The expected assembly time (in minutes) is _____.

Correct AnswerverifiedShow Answer

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minimum = ...
View Answer

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