Question: 120. Based on data from a dart-throwing experiment, the article Shooting Darts (Chance, Summer 1997, 1619) proposed that the horizontal and vertical errors from aiming

120. Based on data from a dart-throwing experiment, the article

“Shooting Darts” (Chance, Summer 1997, 16–19) proposed that the horizontal and vertical errors from aiming at a point target should be independent of one another, each with a normal distribution having mean 0 and variance 2

It can then be shown that the pdf of the distance V from the target to the landing point is f(v) ev2/22 v 0

a. This pdf is a member of what family introduced in this chapter?

b. If 20 mm (close to the value suggested in the paper), what is the probability that a dart will land within 25 mm

(roughly 1 in.) of the target?

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