In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.2 inches, and standard deviation of 5 inches. Let X be the height of a randomly chosen child in Ventura County. a. What is the distribution of X? X - N Please show the following answers to 4 decimal places. b. If a Ventura County child is randomly chosen, find the probability that the height is at most 55.7 inches. 0.6915✓ OF 0 ( 25 X c. If a Ventura County child is randomly chosen, find the probability that the height is between 50.7 and 53.2 inches. 0.1915✔ Please show the following answer to 1 decimal place. d. The 55th percentile height in Ventura County is how many inches? 55 X

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In Ventura County, the height measurements of ten-year-old children are approximately normally
distributed with a mean of 53.2 inches, and standard deviation of 5 inches. Let X be the height of a
randomly chosen child in Ventura County.
a. What is the distribution of X? X - N
Please show the following answers to 4 decimal places.
b. If a Ventura County child is randomly chosen, find the probability that the height is at most 55.7
inches. 0.6915✓
0 (
25 X
c. If a Ventura County child is randomly chosen, find the probability that the height is between 50.7 and
53.2 inches. 0.1915✔
Please show the following answer to 1 decimal place.
d. The 55th percentile height in Ventura County is how many inches? 55 X
Transcribed Image Text:In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.2 inches, and standard deviation of 5 inches. Let X be the height of a randomly chosen child in Ventura County. a. What is the distribution of X? X - N Please show the following answers to 4 decimal places. b. If a Ventura County child is randomly chosen, find the probability that the height is at most 55.7 inches. 0.6915✓ 0 ( 25 X c. If a Ventura County child is randomly chosen, find the probability that the height is between 50.7 and 53.2 inches. 0.1915✔ Please show the following answer to 1 decimal place. d. The 55th percentile height in Ventura County is how many inches? 55 X
The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 39 liters,
and standard deviation of 6.3 liters. Let X be the production of a randomly selected cow in liters.
a. What is the distribution of X? X - NV
or (
Please show the following answers to 4 decimal places.
b. If a cow is randomly chosen, find the probability that its production is less than 35.8 liters. 0.3058✔
oº
c. If a cow is randomly chosen, find the probability that its production is between 42.2 and 45.4 liters.
0.1509✓ OB
39,39. X
Please show the following answer to 1 decimal place.
d. The 82nd percentile of the milk production is how many liters? 82
X
Transcribed Image Text:The mean daily production of a herd of cows is assumed to be normally distributed with a mean of 39 liters, and standard deviation of 6.3 liters. Let X be the production of a randomly selected cow in liters. a. What is the distribution of X? X - NV or ( Please show the following answers to 4 decimal places. b. If a cow is randomly chosen, find the probability that its production is less than 35.8 liters. 0.3058✔ oº c. If a cow is randomly chosen, find the probability that its production is between 42.2 and 45.4 liters. 0.1509✓ OB 39,39. X Please show the following answer to 1 decimal place. d. The 82nd percentile of the milk production is how many liters? 82 X
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