1. A system consists of four components, connected as shown in the diagram. If t
ID: 3069927 • Letter: 1
Question
1. A system consists of four components, connected as shown in the diagram. If the probabilities that A, B, C, and D fail are 0.10, 0.05, 0.10, and 0.20 respectively, what is the probability that the system fails? 2. For a group of 100,000 homes, the table below shows the frequency distribution for the number of persons per occupied housing unit. Frequencies are on thousands of housing units Persons 1 234 5 6 7 25.8 32.6 16.4?6.2 2.3 1.4 Frequenc The random variable Y gives the occupancy of a randomly selected home from this group a. Complete the following table Pr (Y) YPr(Y) b. Find the mean and variance of Find the probability that Y is less than its mea. d. c. Graph the pmf and cdf of Y 3. A voltage system consists of three batteries of type A and two batteries of type B are connected in series. Type A batteries have a voltage of 12V and a standard deviation of 1V and type B batteries have a voltage of 6V and a standard deviation of 0.5V a. Find the mean voltage of the voltage system. b. If the voltages of type A and B batteries are independent, find the standard deviation of the system.Explanation / Answer
The required probability will be P(A) + p(B) + P(A +B)
= 0.10+.0.5+0.10+0.20
0.45
Please post each question separately. Thanks
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