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The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds.What percent of players weigh between 180 and 220 pounds?


A) 28.81%
B) 0.5762%
C) 0.281%
D) 57.62%

E) A) and B)
F) A) and C)

Correct Answer

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z is a standard normal random variable.The P(-1.96 ≤\leq z ≤\leq -1.4) equals


A) 0.8942
B) 0.0558
C) 0.475
D) 0.4192

E) A) and C)
F) B) and D)

Correct Answer

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A professor at a local university noted that the exam grades of her students were normally distributed with a mean of 73 and a standard deviation of 11.Students who made 57.93 or lower on the exam failed the course.What percent of students failed the course?


A) 8.53%
B) 18.53%
C) 91.47%
D) 0.853%

E) C) and D)
F) A) and D)

Correct Answer

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A standard normal distribution is a normal distribution with


A) a mean of 1 and a standard deviation of 1.
B) a mean of 0 and a standard deviation of 0.
C) any mean and a standard deviation of 1.
D) a mean of 0 and standard deviation of 1.

E) A) and D)
F) All of the above

Correct Answer

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Which of the following is a characteristic of the standard normal probability distribution?


A) The mean, median, and the mode are not equal
B) The distribution is not symmetrical
C) The standard deviation must be 0
D) The standard deviation must be 1

E) A) and C)
F) B) and C)

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The time it takes to travel from home to the office is normally distributed with μ\mu = 25 minutes and The time it takes to travel from home to the office is normally distributed with \mu = 25 minutes and = 5 minutes.What is the probability the trip takes more than 20 minutes? A) .1587 B) .3333 C) .6667 D) .8413 = 5 minutes.What is the probability the trip takes more than 20 minutes?


A) .1587
B) .3333
C) .6667
D) .8413

E) C) and D)
F) B) and C)

Correct Answer

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For any continuous random variable, the probability that the random variable takes a value less than zero


A) is any number between zero and one.
B) is more than one, since it is continuous.
C) is a value larger than zero.
D) is zero.

E) A) and D)
F) A) and C)

Correct Answer

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


A) 16
B) 2
C) 8
D) 4

E) C) and D)
F) B) and D)

Correct Answer

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The probability that a continuous random variable takes any specific value


A) is equal to zero.
B) is at least 0.5.
C) depends on the probability density function.
D) is very close to 1.0.

E) None of the above
F) All of the above

Correct Answer

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The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes.The probability that her trip will take exactly 50 minutes is


A) zero
B) 0.02
C) 0.06
D) 0.20

E) None of the above
F) A) and C)

Correct Answer

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Given that z is a standard normal random variable, what is the value of z if the area between -z and z is 0.901?


A) 1.96
B) -1.96
C) ±\pm 0.4505
D) ±\pm 1.65

E) None of the above
F) B) and C)

Correct Answer

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For a continuous random variable x, the probability density function f(x) represents


A) the probability at a given value of x.
B) the area under the curve at x.
C) the area under the curve to the right of x.
D) the height of the function at x.

E) None of the above
F) A) and D)

Correct Answer

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The assembly time for a product is uniformly distributed between 6 to 10 minutes.The probability of assembling the product between 7 to 9 minutes is


A) zero
B) 0.50
C) 0.20
D) 1

E) B) and C)
F) A) and C)

Correct Answer

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There is a lower limit but no upper limit for a random variable that follows the


A) ​uniform probability distribution.
B) ​normal probability distribution.
C) ​exponential probability distribution.
D) ​binomial probability distribution.

E) B) and D)
F) All of the above

Correct Answer

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When a continuous probability distribution is used to approximate a discrete probability distribution, a value of 0.5 is


A) added to and/or subtracted from the area.
B) added to and/or subtracted from the value of x.
C) added to and/or Subtracted from the value of z.
D) added to and /or subtracted from the value of µ.

E) A) and B)
F) None of the above

Correct Answer

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The function that defines the probability distribution of a continuous random variable is a


A) normal function.
B) uniform function.
C) either normal of uniform depending on the situation.
D) probability density function.

E) C) and D)
F) B) and D)

Correct Answer

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The assembly time for a product is uniformly distributed between 6 to 10 minutes.The probability of assembling the product in 7 minutes or more is


A) 0.25
B) 0.75
C) zero
D) 1

E) None of the above
F) A) and B)

Correct Answer

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


A) 1.3333
B) 1.1547
C) 0.1111
D) 0.5773

E) A) and B)
F) C) and D)

Correct Answer

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x is a normally distributed random variable with a mean of 12 and a standard deviation of 3.The probability that x equals 19.62 is


A) 0.000
B) 0.0055
C) 0.4945
D) 0.9945

E) None of the above
F) B) and D)

Correct Answer

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Which of the following is not a characteristic of the normal probability distribution?


A) Symmetry
B) The total area under the curve is always equal to 1.
C) 99.72% of the time the random variable assumes a value within plus or minus 1 standard deviation of its mean
D) The mean is equal to the median, which is also equal to the mode.

E) B) and D)
F) B) and C)

Correct Answer

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