his Test: 24 pts possi In a survey of a group of men, the heights in the 20-29 a
ID: 3366021 • Letter: H
Question
his Test: 24 pts possi In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.1 inches and a standard deviation of 4 0 inches. A study participant is randomly selected Complete parts (a) through (d) below (a) Find the probability that a study participant has a height that is less than 65 inches The probabilitythat the study participant selected at random is less than 65 inches tallilsRound to four decimal places as needed) (b) Find the probability that a study participant has a height that is between 65 and 70 inches The probability that the study participant selected at random is between 65 and 70 inches tall is Round to four decimal places as needed) (c) Find the probability that a study participant has a height that is more than 70 inches The probability that the study participant selected at random is more than 70 inches tall is (d) Identify any unusual events. Explain your reasoning. Choose the correct answer below Round to four decimal places as needed) 0 A. The events parts (a) and (c) are unusual because its probabilties are less than 0 05 O B. The event in part (a) is unusual because its probability is less than 0 05 C. The events in parts (a), (b), and (c) are unusual because all of their probabilites are less than 0 05 Click to select your answers) Type here to search 0Explanation / Answer
a)probability=P(X<65)=P(Z<(65-69.1)/4)=P(Z<-1.025)=0.1527
b)P(65<X<70)=P(-1.025<Z<0.225)=0.5890-0.1527 =0.4363
c)P(X>70)=P(Z>0.225)=0.4110
d)I no probability is less then 0.05 ; therefore no part has unusual probability,
so I think it is option D which is not visible
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