- 11 Prompt 3 A Certain System Can Experience Three Different Types Of Defects Let Aj I 1 2 3 Be The Event That Th 1 (136.77 KiB) Viewed 202 times
11. Prompt 3: A certain system can experience three different types of defects. Let Aj, i = 1, 2, 3 be the event that the system has a defect of type i. Suppose that P(A1) = .17, P(A2) = 0.07, P(A3) = 0.13, P(A1 U A2) = 0.18, P(A, U A3) = 0.18, P(A, UA3) = 0.19, and P(Ain A2 A3) = .01. Let the random variable X be the number of defects that are present. Find E(X) Enter answer here 12. Prompt 3: A certain system can experience three different types of defects. Let Aj, i = 1, 2, 3 be the event that the system has a defect of type i. Suppose that P(Aj) = .17, P(A2) = 0.07, P(A3) = 0.13, P(A1 U A2) = 0.18, P(A, U A3) = 0.18, P(A, U A3) = 0.19, and P(AL N A2 A3) = .01. Let the random variable X be the number of defects that are present. Find V(X). Give four decimal places for your answer. Enter answer here 13. Prompt 3: A certain system can experience three different types of defects. Let Aj, i = 1, 2, 3 be the event that the system has a defect of type i. Suppose that P(Aj) = .17, P(A2) = 0.07, P(A3) = 0.13, P(ALU A2) = 0.18, P(A, U A3) = 0.18, P(A, UA3) = 0.19, and P(Ajn A2 A3) = .01. Let the random variable X be the number of defects that are present. Find o, the standard deviation of X. Round your answer to three decimal places.