in a survey of a group of men, the heights in the 20-29 age group were nominally
ID: 3303378 • Letter: I
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in a survey of a group of men, the heights in the 20-29 age group were nominally distributed. What is the answer to part C? Secure I https// Math 201 827 Fal 2017 Homework: Week 4 Exercises (4.1-4.2, 5.1-5.3) Score: 0 of 1 pt HYV Score: 60 g%, 23 75 of 39 pt, 5.2.7-T a survey of a group of men, the heights in the 20-29 age group wore momally destributed, with a mean of 692 inches and a standard deviation of 2 0 inches A shudy partiopant is randamly selected Complte parts (a) trough (d) bolow a) Find the probability hat a sludy participant has a height that is less than 68 inches The probability that the study participant selected at randors is less than 68 inches tall is 0 2743 (Round to lour decimal places as needed) b) Find the probability that a study participant has a height that is between 68 and 12 inches The probabley tatthe shady pakipant sected at randam h between 68 and niches tal asese Rand is bar de mal plaas need c) Find the probability that a sludy paricipant has a height that is more than 72 inche The probability thait the shudy participant selected at andom is more than 72 inches tall s Round to four decimal places as needed) ) Enter your answer in the answer box and then click Check AnswerExplanation / Answer
c) Let X=height of a participant.
Then, X ~ N(69.2,22)
Probability that a study participant has height more than 72 inches
=P[ X > 72 ]
=P[ (X-69.2)/2 > (72-69 .2)/2]
=P[Z>1.4], where Z~N(0,1)
=0.08075666
0.0808.
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