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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919

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Calculus: An Applied Approach (Min...

10th Edition
Ron Larson
ISBN: 9781305860919
Textbook Problem
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Finding a Probability A probability density function is defined over the interval [0, 11]. The probability that x lies in [0, 2] is 0.15. What is the probability that x lies in [2,11]?

To determine

To calculate: The probability that x lies in [2,11] where the probability that x lies in [0,2] is 0.15.

Explanation

Given Information:

A probability density function is defined over the interval [0,11]. Also, the probability that x lies in [0,2] is 0.15.

Formula used:

If the probability that x lies in the interval [a,b] is 1 and c is any middle number then

The probability that x lies in interval [c,b]=The probability that x lies in interval [a,b]                                                                        The probability that x lies in interval [a,c]

Calculation:

Consider the primary equation,

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