7. Prompt 3: A certain system can experience three different types of defects. Let Ai, i = 1, 2, 3 be the event that the

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7 Prompt 3 A Certain System Can Experience Three Different Types Of Defects Let Ai I 1 2 3 Be The Event That The 1 (78.57 KiB) Viewed 36 times

7. Prompt 3: A certain system can experience three different types of defects. Let Ai, i = 1, 2, 3 be the event that the system has a defect of type i. Suppose that P(A1) = 0.17, P(A2) = 0.07, P(A3) = 0.13, PALUA2) = 0.18, P(A2U AS) = 0.18, P(A1 UA3) = 0.19, and PAL A2 A3) =0.01. Let the random variable x be the number of defects that are present. Calculate P(x = 0). Enter answer here 8. Prompt 3: A certain system can experience three different types of defects. Let Ai, i = 1,2,3 be the event that the system has a defect of type i. Suppose that P(Al) = 0.17, P(42) = 0.07, P(A3) = 0.13, P(ALUA2) = 0.18, P(A2 U A3) = 0.18, P(ALU A3) = 0.19, and P(AINA2 A3) =0.01. Let the random variable x be the number of defects that are present. Calculate P(x = 1). Enter answer here 9. Prompt 3: A certain system can experience three different types of defects. Let Ai, i = 1, 2, 3 be the event that the system has a defect of type i. Suppose that P(AI) = .17, P(A2) = 0.07, P(A3) = 0.13, P(A1A2) = 0.18, P(A2U AS) = 0.18, P(ALU A3) = 0.19, and P(Ain A2 A3) = .01. Let the random variable x be the number of defects that are present. Calculate P(X = 2) Enter answer here 10. Prompt 3: A certain system can experience three different types of defects. Let Ai, i = 1,2,3 be the event that the system has a defect of type i. Suppose that P(A1) = 0.17, P(A2) = 0.07, P(A3) = 0.13, PALUA2) = 0.18, P(A2 UA3) = 0.18, P(ALUA3) = 0.19, and P(ALn42 A3) =0.01. Let the random variable x be the number of defects that are present. Calculate P(X = 3) Enter answer here 11. Prompt 3: A certain system can experience three different types of defects. Let Ai, 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(A1A2) = 0.18, P(A2U AS) = 0.18, P(ALU A3) = 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(A1) = .17, P(A2) = 0.07, P(A3) = 0.13, PALUA2) = 0.18, P(A2U A3) = 0.18, P(ALU A3) = 0.19, and P(Ain 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 Ai, 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(ALU A2) = 0.18, P(A2 UA3) = 0.18, P(A1 UA3) = 0.19, and P(Al 1 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. Enter answer here