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Take a Test alexandria stringer-Mozilla Firefox https,//www mathxlcom./stude alexandria Stinger 82-17 7.48 PM 0244 43 Submit Test This Test: 11 pts possible MATH 2750 Statistics Summer 2017 Test Exam #3 This Question: 1 pt Time lete Tof 11 (1 complete) | n a survey of a group of men, the heights in the 20-29 age group wore nomally distributed, with a mean of 69 1nches and a standard devistion of 3 0 inches A sludy partc pant is andomly selected Complete parts (a) trough (d) below bj Fnd ti probablity that a shuty participant has a height hast is beton 68 and 71 inche The prebabilily that the stty ar pant selected at andom s betwoen 0 and 1 inches tulls Rlound to foxur decimal placos as ne) xplain your reasoning Choose the comect anower below t of 2 O B The events m poarts (a) and c)l because ts probabilities are less than 0 0 1 of 2 O D. The event in part ja) nu because ts probability sess than 0 5 2 of 2 t of 2 #2 Click to select your nens 1.06)

Explanation / Answer

mean = 69.1 ,sd = 3

Z =(X - 69.1)/3

a) P(X< 68) = P (Z<0.37)=0.3557

b) P(68 <X< 71) = P ( 0.37<Z<0.63 )=0.38

c) P(X>71) = P (Z>0.63)=0.2643

since probbaility of every event is more than 0.05

no event is unusual

option C) is correct

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