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 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 ev 20 v 0 f(v)

Question: 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

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 Ïƒ2. It can then be shown that the pdf of the distance V from the target to the landing point is

a. This pdf is a member of what family introduced in this chapter?
b. If Î¼ = 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?

ev/20 v>0 f(v) =

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