Suppose a random variable X has a probability density function as shown in img1.jpg. a) Find the value of k that makes this a probability density function b) Find P(0.4 ≤ X ≤ 1). c) Find P(X ≤ 0.4 | X ≤ 0.8) d) Find F(b) = P(X ≤ b) and sketch the graph of this function.

Suppose a random variable X has a probability density function as shown in img1.jpg. a) Find the value of k that makes this a probability density function b) Find P(0.4 ≤ X ≤ 1). c) Find P(X ≤ 0.4 | X ≤ 0.8) d) Find F(b) = P(X ≤ b) and sketch the graph of this function.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter8: Linear Functions

Section8.7: Function Notation

Problem 19E

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Question

Suppose a random variable X has a probability density function as shown in img1.jpg.

a) Find the value of k that makes this a probability density function

b) Find P(0.4 ≤ X ≤ 1).

c) Find P(X ≤ 0.4 | X ≤ 0.8)

d) Find F(b) = P(X ≤ b) and sketch the graph of this function.

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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