1 point) Suppose a random variable x is best described by a uniform probability distribution with range 0 to 5. Find the value of a that makesthe following probability statements true. Give your answers to at least 4 decimal places.(a) P(x < a) = 0.94(b) P(x > a) = 0.16(C) P(0.27

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Answered: nt Suppose a random variable r is best…

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 a random variable x is best described by a uniform probability distribution with range 0 to 5. Find the value of a that makes the following probability statements true.
IQ is normally distributed with a mean of 100 and a standard deviation of 15. Suppose one individual is randomly chosen. Let X = IQ of an individual. + Part (a) O Part (b) Part (c) Mensa is an organization whose members have the top 2% of all IQs. Find the minimum IQ needed to qualify for the Mensa organization. Write the probability statement. P(X > x) = |0.98
Only need D-F.
Compute P(X) using the binomial probability formula. Then determine whether the normal distribution can be used to estimate this probability. If so, approximate P(X) using the normal distribution and compare the result with the exact probability. n=51 p=.03 x=20
EXCEL CHART: X P(X) 0 0.903921 1 0.092237 2 0.003765 3 7.68E-05 4 7.84E-07 5 3.2E-09 Question is in the picture.

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nt Suppose a random variable r is best described by a uniform probability distribution with range 0 to 5. Find the value of a that makes the following probability statements true. Give your answers to at least 4 decimal places. (a) P(x < a) = 0.94 a = (b) P(r > a) = 0.16 a = (c) P(0.27 < r