Suppose that the distribution of X is in the form f(x) = Cx4 for x in the interval [−1, 2]. (a) Determine the constant C which makes f a pdf. (b) Find the cumulative distribution function F(x). (c) Calculate the probability P(1 < X < 2) using your answer from (b).

Suppose that the distribution of X is in the form f(x) = Cx4 for x in the interval [−1, 2]. (a) Determine the constant C which makes f a pdf. (b) Find the cumulative distribution function F(x). (c) Calculate the probability P(1 < X < 2) using your answer from (b).

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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Question

Suppose that the distribution of X is in the form f(x) = Cx4
for x in the interval [−1, 2].
(a) Determine the constant C which makes f a pdf.
(b) Find the cumulative distribution function F(x).
(c) Calculate the probability P(1 < X < 2) using your answer from (b).
(d) Calculate the expected value of X.
(e) Calculate the standard deviation of X

Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.

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