A dart is thrown at a number line in such a way that it always lands in [2, 18]. Let x represent the number the dart hits. Suppose the probability density function for x is given by ƒ(x) = 7 -x, for 2≤x≤18 50 Find P(4≤x≤16), the probability that the dart lands in [4, 16].

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A dart is thrown at a number line in such a way that it always lands
in [2, 18]. Let x represent the number the dart hits. Suppose the
1
probability density function for x is given by f(x)=x, for 2≤x≤18
Find P(4≤x≤16), the probability that the dart lands in [4, 16].
Transcribed Image Text:A dart is thrown at a number line in such a way that it always lands in [2, 18]. Let x represent the number the dart hits. Suppose the 1 probability density function for x is given by f(x)=x, for 2≤x≤18 Find P(4≤x≤16), the probability that the dart lands in [4, 16].
Expert Solution
Step 1: Introduce the given information

Given ,

 f left parenthesis x right parenthesis space equals 1 over 50 x space space space space space space space space space space semicolon space f o r space2 less or equal than x less or equal than 18

We have to find ,

P open parentheses 4 less or equal than x less or equal than 16 close parentheses

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