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

Question

The driving distance for professional golfer, Lion Woods, varies uniformly between 258 and 283 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 259 and 263 yards?

b) What's the 39th percentile of the distribution of his driving distances?

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

d) 56% 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)None of theseplus/minus two standard deviation of the meanplus/minus three standard deviation of the meanplus/minus one standard deviation of the mean

Explanation / Answer

here as it is uniformely disributed with parameter a=258 and b=283

hence its cumulative frequency distribution P(X<x)=(x-258)/(283-258)=(x-258)/25

a) probability that one of his randomly selected drives is between 259 and 263 yards=(263-259)/25 =0.16

b)39th percentile of the distribution of his driving distances =258+0.39*(283-258)=267.25

c) standard deviation of his driving variance =(b-a)/(12)1/2 =7.2169

d)56% of his drives are at (100-56=44 percentile) hence specific distance 258+0.44*(283-258)=269

e)Approximately 68% of his driving distances fall between plus/minus one standard deviation of the mean

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