A dart is thrown at a number line in such a way that it always landsin [2, 18]. Let x represent the number the dart hits. Suppose the1probability density function for x is given by f(x)=x, for 2≤x≤18Find P(4≤x≤16), the probability that the dart lands in [4, 16].

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].

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

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

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 ,

$f left parenthesis x right parenthesis space equals 1 over 50 x space space space space space space space space space space semicolon space f o r space$ $2 less or equal than x less or equal than 18$

We have to find ,

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

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