a 3) We flip the same coin 3 times independently. On one side of the coin there is a 2 and on the other side a 1. Side 2
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a 3) We flip the same coin 3 times independently. On one side of the coin there is a 2 and on the other side a 1. Side 2
a 3) We flip the same coin 3 times independently. On one side of the coin there is a 2 and on the other side a 1. Side 2 has probability 0.2 whilst side 1 has probability 0.8. Let X, designate the result of the ith trial. Hence X. X, and Xy are ii.d. and P(X, - 2) = 0.2, PCX, = 1) = 0.8 We build the product of the three values obtained. a)Calculate the probability that the product is equal to 4. Hence calculate the probability: P(X, X, X3 = 4). b) What is the conditional probability that X2 = 2 given that the sum is 1? So what is: P(X) = 2X1 + X, + X3 = 4). c) What is the probability P(X1 + X2 + ... + X100 < 131.013) equal to?
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