In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches, and standard deviation of 3.7 inches. Let X be the height of a randomly chosen child in Ventura County. Binomial: B, Uniform: U, Normal: N What is the distribution of X? X~ NV 55.1 ✓, 3.7 ▼ Part 2 o Round the following answers to three decimal places. If a Ventura County child is randomly chosen, find the probability that the height is more than 45.8 inches 0.994

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.4: Distributions Of Data
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In Ventura County, the height measurements of ten-year-old children are approximately normally
distributed with a mean of 55.1 inches, and standard deviation of 3.7 inches. Let X be the height of a
randomly chosen child in Ventura County.
Binomial: B, Uniform: U, Normal: N
What is the distribution of X? X NV
55.1
✓, 3.7
Part 2 of 3
Round the following answers to three decimal places.
If a Ventura County child is randomly chosen, find the probability that the height is more than 45.8 inches.
0.994
If a Ventura County child is randomly chosen, find the probability that the height is between 53.2 and 55.1
inches.
0.196
Round the following answer to the nearest integer.
The 35th percentile height in Ventura County is how many inches?
Hint: You are looking for the value, not the percentage. Start by using R, and then use the z-score.
Part 3 of 3
Transcribed Image Text:In Ventura County, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.1 inches, and standard deviation of 3.7 inches. Let X be the height of a randomly chosen child in Ventura County. Binomial: B, Uniform: U, Normal: N What is the distribution of X? X NV 55.1 ✓, 3.7 Part 2 of 3 Round the following answers to three decimal places. If a Ventura County child is randomly chosen, find the probability that the height is more than 45.8 inches. 0.994 If a Ventura County child is randomly chosen, find the probability that the height is between 53.2 and 55.1 inches. 0.196 Round the following answer to the nearest integer. The 35th percentile height in Ventura County is how many inches? Hint: You are looking for the value, not the percentage. Start by using R, and then use the z-score. Part 3 of 3
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