In the country of United States of Heightlandia, the height measurements of ten-
ID: 3044846 • Letter: I
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 56.7 inches, and standard deviation of 8 inches.
A) What is the probability that a randomly chosen child has a height of less than 49.4 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 61.2 inches?
Answer= (Round your answer to 3 decimal places.)
Box 1: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity
Box 2: Enter your answer as an integer or decimal number. Examples: 3, -4, 5.5172 Enter DNE for Does Not Exist, oo for Infinity
Explanation / Answer
Answer:
In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.7 inches, and standard deviation of 8 inches.
A) What is the probability that a randomly chosen child has a height of less than 49.4 inches?
Z value for 49.4, z =(49.4-56.7)/8 = -0.91
P( x <49.4) = P( z < -0.91) =0.1814
Answer= 0.181 (Round your answer to 3 decimal places.)
B) What is the probability that a randomly chosen child has a height of more than 61.2 inches?
Z value for 61.2, z =(61.2-56.7)/8 = 0.56
P( x >61.2) = P( z >0.56) = 0.2877
Answer= 0.288 (Round your answer to 3 decimal places.)