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Chapter 5: Q. 13 (page 347)

Find the probability that xfalls in the shaded area.

Short Answer

Expert verified

The probability thatxfalls in the shaded area is0.625

Step by step solution

01

Given Information 

Given in the question is a graph,

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

02

Calculation

The following value is indicated based on the information provided in the question:

f(x)=18,鈥呪赌呪赌呪赌�0鈮�x鈮�8.50,鈥呪赌呪赌呪赌�otherwise

Let's consider the graph first,

The shaded region is 0鈮�x鈮�5

Therefore, the probability of the shaded region will be,

P(0鈮�x鈮�5)=鈭�05鈥�18dx

=18[x]05

=18[5鈭�0]

=58

=0.625

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