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Chapter 1: Q5SE (page 1)

Consider the contractor in Example 1.5.4 on page 19. He wishes to compute the probability that the total utility demand is high, meaning that the sum of water and electrical demand (in the units of Example 1.4.5) is at least 215. Draw a picture of this event on a graph like Fig. 1.5 or Fig. 1.9 and find its probability.

Short Answer

Expert verified

The required probability is 0.312029

Step by step solution

01

Given information

Referring to the example 1.5.4.

02

Probability calculation

The region where total electrical demand is at least 215

The area of the shaded region is,

\(\begin{aligned}{}\frac{1}{2} \times 135 \times 135 &= \frac{{18225}}{2}\\ = 9112.5\end{aligned}\)

The probability is then is,

\(\)\(\frac{{9112.5}}{{29204}} = 0.312029\)

Therefore, the required probability is, 0.312029

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