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Find P(3≤x≤9), the probability that the dart lands in [3, 9].

Find P(3≤x≤9), the probability that the dart lands in [3, 9].

A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A dart is thrown at a number line in such a way that it always lands in [0, 10]. Let \( x \) represent the number the dart hits. Suppose the probability density function for \( x \) is given by \( f(x) = \frac{1}{50}x \), for \( 0 \le x \le 10 \). Find \( P(3 \le x \le 9) \), the probability that the dart lands in [3, 9].
Transcribed Image Text:A dart is thrown at a number line in such a way that it always lands in [0, 10]. Let \( x \) represent the number the dart hits. Suppose the probability density function for \( x \) is given by \( f(x) = \frac{1}{50}x \), for \( 0 \le x \le 10 \). Find \( P(3 \le x \le 9) \), the probability that the dart lands in [3, 9].
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Step 1: Mentioning given information

A dart is thrown at a number line in such a way that it always lands in [0, 10]. Let x represent the number the dart hits. Suppose the probability 1 density function for x is given by f(x) =(1/50)  x, for 0≤x≤10.


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