In Ventura County, the height measurements of ten-year-old children are approximately normallydistributed with a mean of 53.9 inches, and standard deviation of 3.1 inches. Let X be the height of arandomly chosen child in Ventura County.a. What is the distribution of X?X - ?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 most49.2 inches.c. If a Ventura County child is randomly chosen, find the probability that the height is between52.3 and 53.9 inches.Please show the following answer to 1 decimal place.d. The 40th percentile height in Ventura County is how many inches?

Let X be the random variable from normal distribution with mean (μ) = 53.9 and standard deviation…

Answered: In Ventura County, the height…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed with a mean of 242 feet and a standard deviation of 46 feet.Use your graphing calculator to answer the following questions. Write your answers in percent form. Round your answers to the nearest tenth of a percent. a) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled fewer than 204 feet? P(fewer than 204 feet) = ____% b) If one fly ball is randomly chosen from this distribution, what is the probability that this ball traveled more than 234 feet? P(more than 234 feet) = ______%
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A balanced die with six sides is rolled 60 times. Find the mean and the standard deviation of the distribution of X. Interpret
All California 5th graders take a standardized test. The mean for the population of 5th graders is 68.9 and the standard deviation for the population is 10. What is the probability of randomly selecting a student who scored a. ≥ 85? b. less than or equal to 85? c. between 80 & 85? d. between 60 & 85?
The NJ Department of Health has reported the average life span of NJ residents is 81 years. If the standard deviation is σ = 4 years, what is the probability of a person living to at least 92 years of age?
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