   Chapter 9.3, Problem 5SWU ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

#### Solutions

Chapter
Section ### Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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# In Exercises 5 and 6, find each probability using the given probability density function. f ( x ) = 1 9 ,   [ 0 , 9 ] (a) P ( x ≤ 3 ) (b) P ( 2 < x < 8 )

(a)

To determine

To calculate: The probability P(x3) of the probability density function f(x)=19, [0,9].

Explanation

Given information:

The function is,

f(x)=19, [0,9]

Formula used:

To find the probability,

P(axb)=abf(x)dx

Where, f is a probability density function with a continuous random variable x in the interval [a,b]

Calculation:

Consider the provided function is,

f(x)=19

Now apply the formula P(axb)=abf(x)dx to find the probability,

P(axb)=ab

(b)

To determine

To calculate: The probability P(2<x<8) of the probability density function f(x)=19, [0,9].

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