Question

In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 54.6 inches, and standard deviation of 7.7 inches.

A) What is the probability that a randomly chosen child has a height of less than 40.05 inches?

Answer= (Round your answer to 3 decimal places.)

B) What is the probability that a randomly chosen child has a height of more than 36.1 inches?

Answer= (Round your answer to 3 decimal places.)

Answer 1

IPAGE I I Chocol a ca bet x Height measurements of ten year old children in inchec. X U NORMAL (MO) where l = 54.6 o 7.7. A tellsos We need the tollowing probeatatities PEX L 40.05] PEXML 40.05 M P[za 40.05 M Where A NORMAL (0, 2) 40. 05- 546 1 889610.89

TPAGER I Chee3 P[37 1.88961039]. 1-PCs 21:88961039] [from standard normal tables]. 0:91002 b. 02938 ANKWER = 0.029 ROUNDED to the ES DEU MAL PLACES. Reb ve need the tolbeing probabilety. PEx 236:13 736.1 P[37 36.14 where z V NORMAL (611) 3 P 37361 54.6 PL 37–2.402597403 EP CS6 2:4025474083 By symmetos beperb of Normal

PAGES 1566 013) 0.99180 ANSWER 2 0.992 Х