(b) Test two independent circuits one after the other. On each test, the possible outcome is either overvoltage (O) or undervoltage (U). Assume that all circuits are overvoltage with probability 0.4. Let X be the number of overvoltage circuit in the first test and Y be the mumber of overvoltage circuit before you observed undervoltage. If both circuit is overvoltage or undervoltage, Y = 2. Find the joint PMF of X and Y.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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(b)
Test two independent circuits one after the other. On each test, the possible outcome is either
overvoltage (0) or undervoltage (U). Assume that all circuits are overvoltage with probability
0.4. Let X be the number of overvoltage circuit in the first test and Y be the number of
overvoltage circuit before you observed undervoltage. If both circuit is overvoltage or
undervoltage, Y = 2. Find the joint PMF of X and Y.
Transcribed Image Text:(b) Test two independent circuits one after the other. On each test, the possible outcome is either overvoltage (0) or undervoltage (U). Assume that all circuits are overvoltage with probability 0.4. Let X be the number of overvoltage circuit in the first test and Y be the number of overvoltage circuit before you observed undervoltage. If both circuit is overvoltage or undervoltage, Y = 2. Find the joint PMF of X and Y.
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