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Chapter 6: Q. 102 (page 406)
In the previous exercise, the probability that at least of Joe's eggs contains salmonella is about
(a) .
(b) .
(c) .
(d) .
(e) .
(c) (at least salmonella)
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A housing company builds houses with two-car garages. What percent of households have more cars than the garage can hold? (a)
(b)
(c)
(d)
(e)
Binomial setting? A binomial distribution will be approximately correct as a model for one of these two sports settings and not for the other. Explain why by briefly discussing both settings. (a) A National Football League kicker has made of his field-goal attempts in the past. This season he attempts field goals. The attempts differ widely in the distance, angle, wind, and so on. (b) A National Basketball Association player has made of his free-throw attempts in the past. This season he takes free throws. Basketball free throws are always attempted from feet away with no interference from other players
In a process for manufacturing glassware, glass stems are sealed by heating them in a flame. The temperature of the flame can be adjusted to one of five different settings. Here is the probability distribution of the flame temperature (in degrees Celsius) for a randomly chosen glass:
(a) The target temperature is. What are the mean and standard deviation of the number of degrees off target, ?
(b) A manager asks for results in degrees Fahrenheit. The conversion of X into degrees Fahrenheit is given by \(y=\frac{9}{5} X+32\). What are the mean 渭Y and the standard deviation 蟽Y of the temperature of the flame in the Fahrenheit scale?
Refer to Exercise . The ferry company鈥檚 expenses are per trip. Define the random variable to be the amount of profit (money collected minus expenses) made by the ferry company on a randomly selected trip. That is, .
(a) How does the mean of relate to the mean of ? Justify your answer. What is the practical importance of ?
(b) How does the standard deviation of relate to the standard deviation of ? Justify your answer. What is the practical importance of ?
A small ferry runs every half hour from one side of a large river to the other. The number of cars on a randomly chosen ferry trip has the probability distribution shown below. You can check that and .
(a) The cost for the ferry trip is . Make a graph of the probability distribution for the random variable money collected on a randomly selected ferry trip. Describe its shape.
(b) Find and interpret .
(c) Compute and interpret .
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