Questions from Engineering Statistics


Q: A random variable X that assumes the values x1, x2,

A random variable X that assumes the values x1, x2, . . . , xk is called a discrete uniform random variable if its probability mass function is f(x) = 1 k for all of x1, x2, . . . , xk and 0 otherwise...

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Q: A nationwide survey of college seniors by the University of Michigan revealed

A nationwide survey of college seniors by the University of Michigan revealed that almost 70% disapprove of daily pot smoking, according to a report in Parade. If 12 seniors are selected at random and...

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Q: There are two vacancies in a certain university statistics department. Five

There are two vacancies in a certain university statistics department. Five individuals apply. Two have expertise in linear models, and one has expertise in applied probability. The search committee i...

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Q: The manufacturer of a tricycle for children has received complaints about defective

The manufacturer of a tricycle for children has received complaints about defective brakes in the product. According to the design of the product and considerable preliminary testing, it had been dete...

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Q: Denote by A, B, and C the events that a

Denote by A, B, and C the events that a grand prize is behind doors A, B, and C, respectively. Suppose you randomly picked a door, say A. The game host opened a door, say B, and showed there was no pr...

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Q: A truth serum has the property that 90% of the guilty

A truth serum has the property that 90% of the guilty suspects are properly judged while, of course, 10% of the guilty suspects are improperly found innocent. On the other hand, innocent suspects are...

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Q: An allergist claims that 50% of the patients she tests are

An allergist claims that 50% of the patients she tests are allergic to some type of weed. What is the probability that (a) exactly 3 of her next 4 patients are allergic to weeds? (b) none of her next...

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Q: The following measurements were recorded for the drying time, in hours

The following measurements were recorded for the drying time, in hours, of a certain brand of latex paint. Assume that the measurements are a simple random sample. (a) What is the sample size for th...

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Q: The probabilities that a service station will pump gas into 0,

The probabilities that a service station will pump gas into 0, 1, 2, 3, 4, or 5 or more cars during a certain 30-minute period are 0.03, 0.18, 0.24, 0.28, 0.10, and 0.17, respectively. Find the probab...

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Q: How many bridge hands are possible containing 4 spades, 6 diamonds

How many bridge hands are possible containing 4 spades, 6 diamonds, 1 club, and 2 hearts?

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