The driving distance for professional golfer, Lion Woods, varies uniformly betwe

Question

The driving distance for professional golfer, Lion Woods, varies uniformly between 239 and 264 yards.

(Round probabilities to four decimals and yardage to two decimals)

a) What's the probability that one of his randomly selected drives is between 240 and 244 yards?

b) What's the 35th percentile of the distribution of his driving distances?

c) What's the standard deviation of his driving variance?

d) 37% of his drives are longer than a specific distance. Find that specific distance.

e) Approximately 68% of his driving distances fall between (Click to select)plus/minus three standard deviation of the meanplus/minus one standard deviation of the meanNone of theseplus/minus two standard deviation of the mean

Explanation / Answer

X ~ U (239 , 264)

a) P(240 < X < 244) = (244 - 240) / (264 - 239)

                                 = 0.16

b) P(X < x) = 0.35

or, (x - 240) / (264 - 239) = 0.35

or, x - 240 = 0.35 * 25

or, x = 248.75

c) Standard deviation = (264 - 239) / sqrt(12)

                                   = 7.22

d) P(X > x) = 0.37

or, (264 - x) / (264 - 239) = 0.37

or, 264 - x = 0.37 * 25

or, x = 254.75

e) Option-B) +/- one standard deviation of the mean

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