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(o Not secure I www.webassign.net/web/Student/Assignment-Responses/submit?dep- 17751054 MEGAKNIFE SearchPOF to PPT Converte Marketplace -Conterwww.ribbetcc Photo Editor | Befuni curriculuml orwebpa Suppose that a category of world class runners are known to run a marathon (26 miles) in an average of 147 minutes with a standard d of the races. et X the average of the 49 races Part (a) Give the distribution of X. (Round your standard deviation to two decimal places) 1471.71 Part (b) Find the probability that the runner will average between 145 and 148 minutes in these 49 marathons (Round your answer to four dec imal places a Part (c) art (d) Find the median of the average running times mil Additional Materials Di e 11PM

Explanation / Answer

Z = (x-u)/(std deviation)

We have, u = 147, std deviation =1.71

Z1 =(145-147)/1.71

Z1 = -1.17

Z2 = (148-147)/1.71                                             

Z2 = 0.58

Thus, P(145<u<148) = P(-1.17<Z<0.58)

= 0.7190 – 0.1210

= 0.5980

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