Question

How to do question 3(a)(b)(c)

PO A A 3 A 21 Ar AU В І A Av A Juli 樣式 程式 BR 10 11 13 14 15 16 17 18 Problem 3 (5 pts) Out of all the power plants in the United States, if we were to repeatedly select a plant at random and record the primary source of energy used to provide energy and/or heat, the table below would be the resulting probability distribution for each type of plant. Primary Source of Energy Probability L Petroleum Natural Gas Coale Renewable Energy Nuclear Power 0.022 0.272 0.38 0.13 0.20 8029 DIX 14 W Р tv

Answer 1

a)

For legitimate Probability model, the sum of all the probabilities should equal to 1

$\sum p(x) = 1$

0.02 + 0.27 + 0.38 + 0.13 + 0.2 = 1.

Since the sum is 1, it is a legitimate probability model

b)

P(US power plant used Renewable source of energy) = 0.13

c)

P(US power plant used hydrocarbon-based fuel )= P( use of Petroleum ) + P( use of natural gas ) + P( use of coal )

= 0.02 + 0.27+ 0.38 =0.67

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