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View History Bookmarks Develop Window Help 5 3D 3 Wed 9 mathal.com SUMMER 2020 MAT 103 RLTIME ONLINE Aidan Varley & To Low Battery Your Mac wil sleep soon ur into a power outlet Homework: July 28 Class Save Cou Score: 8.57 of 20 pts 3 of 10 (3 complete) mat HW Score: 21.97%, 46.57 of 212 pts 7.2.40-T Assigned Media Question Help w.kl The ability to determine the age of some individuals can be difficult if there are not quality government records of birth. Bone growth takes place at the growth plates at SCG the end of long bones. Once all growth plates fuse, growth stops, and an individual is considered a biological adult. The age at which growth plates fuse for males is approximately normally distributed with a mean of 18.5 years and a standard deviation of 16.2 months. Complete parts (a) through (d). (a) What is the probability a male's growth plates fuse after age 21? The probability a male's growth plates fuse after age 21 is 0.0320 (Round to four decimal places as needed.) W. (b) What is the probability a male's growth plates fuse before age 18? SCC The probability a male's growth plates fuse before age 18 is 0.3556 (Round to four decimal places as needed.) Z = (c) What proportion of male growth plates fuse between 17 and 18 years of age? athin The proportion of male growth plates that fuse between 17 and 18 years of age is 0.2223 (Round to four decimal places as needed.) www.k. (d) Would it be unusual for a male's growth plates to fuse when he is 22 years old or older? Explain. -sta This event unusual, because P/X222) is equal to 0.0048", which is less than 0.05. (Round to four decimal places as needed.) is 24 www.y How Question is complete. Tap on the red indicators to see incorrect answers. Similar Question All parts showing

Answer 1

X: the a Let us define the following event - age for male ad oodata when their growth plates fure So, here xu N(18.5,16.2°). a. We have to find the that probability male's growth plate fuse after age 21. :P[X7 21 - 1-P [X321] - P[X-18.5 < 21-18.5 E1-250-1543) I- 16.2 = 1- *(0.1543) = 0.4404 < = 1-0.5596 [obtained from normal table b. We have to find the probability that a male's growth plate fuse before age 18. :P[X <18 EP [X418.5 18-18.5 T6.2 16.2 =P[z<-0.0308 (-0.0308) 1- (0.0308) - 1-85119 [obtained from normal table -0.6881 는 c. We have to find the proportion of male growth plates fuse between 17 and 18 years of age.

16.2 16.2 16.2 :: P[17 2X <18] - P[12-18,5 < -18.52 18-18-95 = P[-0.0925 27 2-0.0308 $(-0.0208) – $(-0.09 25) = 1–610.03.08)-1 + 0(0.0925) = -0.5119+0.5358 Tobtained from normal table] -0.0239 (22-18.57 d. We have to find the probability that xx, 22. P[X%, 22] = 1-P[x <22] --PTX-18.9 P[X- 16.2 16.2 I-P[7 <0.2160] El-610.2060) = 1-0.5079 (obtained from normal -0.4921 table]. This event isi unusual, because P[xy, 2a is canal to 0.4921 which is more than 0.05.