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Chapter 5: Q.14 (page 311)

Find the probability that x falls in the shaded area.

Short Answer

Expert verified

The probability that xfalls in the shaded area is:P(2.5≤x≤5.5)=0.3

Step by step solution

01

Given Information 

Given in the question that a graph.

We have to find the probability that xfalls in the shaded area.

02

Calculation

From the information, we know that

f(x)=110,    0≤x≤100,    otherwise

Let's consider the graph first, Where we obtain that the shaded region is 2.5≤x≤5.5.

Therefore, the probability of the shaded region will be,

P(2.5≤x≤5.5)=∫2.55.5 110dx

=110[x]2.55.5

=110[5.5−2.5]

=310

=0.3

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