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Chapter 5: Q. 12 (page 346)

Find the probability that xfalls in the shaded area.

Short Answer

Expert verified

The probability that xfalls in the shaded area is0.22

Step by step solution

01

Given Information 

Given in the question that a shaded graph,

We need to find the probability thatxfalls in the shaded area.

02

Solution 

According on the information provided, the following value is indicated:

f(x)=19,    0≤x≤90,    otherwise

Let's consider the graph first, the shaded region is 6≤x≤8.

Therefore, the shaded region will be,

P(6≤x≤8)=∫68 19dx

=19[x]68

=19[8−6]

localid="1650465993463" =29

=0.22

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