Question

Question 3 According to a study done by UCB students, the height for Martian adult males is normally distributed with an average of 65 inches and a standard deviation of 2.4 inches. Suppose one Martian adult male is randomly chosen. Let X-height of the individual. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X-N b. Find the probability that the person is between 60.7 and 64.7 inches. C. The middle 20% of Martian heights lie between what two numbers? Low: inches High: inches Hint: Helpful videos: • P[X<a number) • PX > a number) • Pix is between two numbers) • Finding a percentile • Using the invNormal with greater than problems • Finding the IOR Hint search

Answer 1

cAGE NO OATE luim 6-2.4 Cri voo, G22 5.76 Distriburio Of X in Notttion NNCES 2.4) x N(65,5 7) in Mottian Nly,62) P(60.7 x647) PCx <64.7) - pCx 60.7) GO-7-65 -R64.7-65 2.4 2.4 ap(Z-0-12s)- pEZt79117) 0.4503-0-0366 0.4137 Louer 20% Highr is 4.F PCX<a)0-40 b P(Z 0.40 But PromZtobte a FCZ<-0-253)-040 0-253

PGE NO DATE 4 tt0.2535 65 + C0.253 t 2.4) aニ 64.3928 Now PCXb 040 PX <b) 20.60 P(Z bxt 0.60 b-u 0-253 el t Co.253 *C) 654(0253 2.4) 65.C072 64.3920 Low S.6012 High