In a survey of a group of men, the heights in the 20-29 age group were normally

Question

In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 67.6 B inches and a standard deviation of 2.0 inches. A study participant is randomly selected. Complete parts (a) through below. (a) Find the probability that a study participant has a height that is less than 67 inches. The probability that the study participant elected at random is less than 67 inches tall is. (Round to tour decimal places as needed.) (b) Find the probability that a shady participant has a height that is between 67 and 72 inches. The probability that the study participant selected at random is between 67 and 72 inches tall is .(Round o decimal places at needed.)

Explanation / Answer

here mean =67.6 and std deviation=2 (please revert if they are not correct as picture a little blurry)

a) from normal distribution z=(X-mean)/std deviation

P(X<67)=P(Z<-0.3)=0.3821

P(67<X<72)=P(-0.3<Z<2.2)=0.9861-0.3821=0.6040

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