Example: Suppose that the error in the reaction temperature, in •C, for a controlled laboratory experiment is a continuous random variable X having the probability density function f(x) = 3 -1< x < 2 %3D 0, elsewhere find F (x). and use it to evaluate P(0 < X < 1).

Example: Suppose that the error in the reaction temperature, in •C, for a controlled laboratory experiment is a continuous random variable X having the probability density function f(x) = 3 -1< x < 2 %3D 0, elsewhere find F (x). and use it to evaluate P(0 < X < 1).

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.CR: Chapter 13 Review

Problem 3CR

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Question

Solve the math and

give a explanation for which math what type of distribution we have to use especially when we have to use density function and when cumulative distribution function.

Example: Suppose that the error in the reaction temperature, in •C, for a controlled laboratory
experiment is a continuous random variable X having the probability density function
x2
f(x) = {3
-1 < x < 2
0,
elsewhere
find F(x). and use it to evaluate P(0 < X < 1).

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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