FiltersDone

Question type

Essay

Multiple Choice

Short Answer

True False

Matching

Exam 6: Continuous Probability Distributions

Show Answer

Share

---

All types

Filters

Study FlashcardsPractice ExamLearn

Question 81

Short Answer

Review LaterAdd Note

Review Later

The time required to assemble a part of a machine follows an exponential probability distribution with a mean of 14 minutes. a.What is the probability that the part can be assembled in 7 minutes or less? b.What is the probability that the part can be assembled between 3.5 and 7 minutes?

Correct Answer

verified

Show Answer

Question 82

Multiple Choice

Review LaterAdd Note

Review Later

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

A) The mean, median, and the mode are equal
B) The mean of the distribution can be negative, zero, or positive
C) The distribution is symmetrical
D) The standard deviation must be 1

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

Correct Answer

verified

Show Answer

Question 83

Short Answer

Review LaterAdd Note

Twenty percent of the employees of a large company are female. Use the normal approximation of the binomial probabilities to answer the following questions. What is the probability that in a random sample of 80 employees a.exactly 16 will be female? b.14 or more will be female? c.15 or fewer will be female? d.18 or more will be female e.exactly 17 will be female?

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?

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

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

An exponential probability distribution

The life expectancy of Timely brand watches is normally distributed with a mean of four years and a standard deviation of eight months. a.What is the probability that a randomly selected watch will be in working condition for more than five years? b.The company has a three-year warranty period on their watches. What percentage of their watches will be in operating condition after the warranty period? c.What is the minimum and the maximum life expectancy of the middle 95% of the watches? d.Ninety-five percent of the watches will have a life expectancy of at least how many months?

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?

The advertised weight on a can of soup is 10 ounces. The actual weight in the cans follows a uniform distribution and varies between 9.3 and 10.3 ounces. a.Give the mathematical expression for the probability density function. b.What is the probability that a can of soup will have between 9.4 and 10.3 ounces? c.What is the mean weight of a can of soup? d.What is the standard deviation of the weight?

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

In grading eggs into small, medium, and large, the Nancy Farms packs the eggs that weigh more than 3.6 ounces in packages marked "large" and the eggs that weigh less than 2.4 ounces into packages marked "small"; the remainder are packed in packages marked "medium." If a day's packaging contained 10.2% large and 4.18% small eggs, determine the mean and the standard deviation for the eggs' weights. Assume that the distribution of the weights is normal.

Use the normal approximation to the binomial distribution to answer this question. Fifteen percent of all students at a large university are absent on Mondays. If a random sample of 12 names is called on a Monday, what is the probability that four students are absent?

A standard normal distribution is a normal distribution

For a standard normal distribution, determine the probabilities of obtaining the following z values. It is helpful to draw a normal distribution for each case and show the corresponding area. a.Greater than zero b.Between -2.4 and -2.0 c.Less than 1.6 d.Between -1.9 to 1.7 e.Between 1.5 and 1.75

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

For the standard normal probability distribution, the area to the right of the mean is

For a standard normal distribution, determine the probability of obtaining a Z value of a.greater than zero. b.between -2.34 to -2.55 c.less than 1.86. d.between -1.95 to 2.7. e.between 1.5 to 2.75.

The exponential probability distribution is used with

Exhibit 6-5 The travel time for a college student traveling between her home and her college is uniformly distributed between 40 and 90 minutes. -Refer to Exhibit 6-5. The probability that she will finish her trip in 80 minutes or less is