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17#3 A groundsman paces out a soccer pitch with paces which can be taken to be...

17#3

A groundsman paces out a soccer pitch with paces which can be taken to be independent from some distribution with mean  m and standard deviation  m. The groundsman takes one hundred such paces to mark out the pitch. Provide answers to the following to three decimal places.

(a) Estimate the probability that the mean of the 100 paces is greater than  m.

(b) Estimate the probability that the resulting pitch will be within  metres of 100 m

Math   Statistics-And-Probability   
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Answer #1

a. Probability that the mean of 100 paces is greater than m is 0.500

b. Probability that the resulting pitch will be within metres of 100m is 1.000

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