Let random variable X have a normal distribution with u=810 and -95. Find the number a such thatP(810-a

given data normal distributionμ = 810σ = 95P(810-a<x<810+a) = 0.762a = ?

Answered: Let random variable X have a normal…

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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Let X represent the full height of a certain species of tree. Assume that X has a normal probability distribution with a mean of 6.9 ft and a standard deviation of 41.4 ft.Find the probability that the height of a randomly selected tree is between -109 ft and -30.4 ft.P(-109 < X < -30.4) = Enter your answer as a number accurate to 4 decimal places.
The number of ants per acre in the forest is normally distributed with mean 42,000 and standard deviation 12,243. Let X = number of ants in a randomly selected acre of the forest. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(___,___) b. Find the probability that a randomly selected acre in the forest has fewer than 51,308 ants. c. Find the probability that a randomly selected acre has between 43,676 and 53,243 ants. d. Find the first quartile. ants (round your answer to a whole number)
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Assume that the amount of weight that male college students gain during their freshman year are normally distributed with a. Mean of u= 1.2 kg and a standard deviation of o= 5.1 kg A. If 1 male college student is randomly selected, Find the probability that he gains between 0 and 3 kg during freshman year B. If 25 male college students are randomly selected find the probability that their mean weight gain during freshman year is between 0 and 3 kg why can the normal distribution be used on pet b even though the sample size does not exceed 30?
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This is a normal distribution problem
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Let random variable X have a normal distribution with =810 and a=95. Find the number a such that P(810-a