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Exam 6: Continuous Probability Distributions

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Question 51

Multiple Choice

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Exhibit 6-7 -Refer to Exhibit 6-7. The mean of x is

A) 0.10
B) 10
C) 100
D) 1,000

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

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Question 52

Multiple Choice

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Given that z is a standard normal random variable, what is the value of z if the area to the left of z is 0.9382?

A) 1.8
B) 1.54
C) 2.1
D) 1.77

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

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Question 53

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Exhibit 6-7 -The time it takes to hand carve a guitar neck is uniformly distributed between 110 and 190 minutes. a.What is the probability that a guitar neck can be carved between 95 and 165 minutes? b.What is the probability that the guitar neck can be carved between 120 and 200 minutes? c.Determine the expected completion time for carving the guitar neck. d.Compute the standard deviation.

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

Exhibit 6-6 The life expectancy of a particular brand of tire is normally distributed with a mean of 40,000 and a standard deviation of 5,000 miles. -Refer to Exhibit 6-6. What percentage of tires will have a life of 34,000 to 46,000 miles?

Exhibit 6-5 The weight of items produced by a machine is normally distributed with a mean of 8 ounces and a standard deviation of 2 ounces. -Refer to Exhibit 6-5. What is the probability that a randomly selected item will weigh between 11 and 12 ounces?

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

Z is a standard normal random variable. The P(1.41 $\le$ z $\le$ 2.85) equals

Given that z is a standard normal random variable, what is the value of z if the area to the right of z is 0.1401?

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

The contents of soft drink bottles are normally distributed with a mean of twelve ounces and a standard deviation of one ounce. a.What is the probability that a randomly selected bottle will contain more than ten ounces of soft drink? b.What is the probability that a randomly selected bottle will contain between 9.5 and 11 ounces? c.What percentage of the bottles will contain less than 10.5 ounces of soft drink?

The mean of a standard normal probability distribution

The time between arrivals of customers at the drive-up window of a bank follows an exponential probability distribution with a mean of 10 minutes. a.What is the probability that the arrival time between customers will be 7 minutes or less? b.What is the probability that the arrival time between customers will be between 3 and 7 minutes?

Excel's EXPON.DIST function can be used to compute

X is a normally distributed random variable with a mean of 22 and a standard deviation of 5. The probability that x is less than 9.7 is

Exhibit 6-7 -All of the following distributions are symmetric except

Exhibit 6-1 Consider the continuous random variable x, which has a uniform distribution over the interval from 20 to 28. -Refer to Exhibit 6-1. The probability density function has what value in the interval between 20 and 28?

A continuous random variable is uniformly distributed between a and b The probability density function between a and b is

The random variable x is known to be uniformly distributed between 70 and 90. The probability of x having a value between 80 to 95 is

The time at which the mailman delivers the mail to Ace Bike Shop follows a normal distribution with mean 2:00 PM and standard deviation of 15 minutes. a. What is the probability the mail will arrive after 2:30 PM? b. What is the probability the mail will arrive before 1:36 PM? c. What is the probability the mail will arrive between 1:48 PM and 2:09 PM?