This question is meant to help with the notion of conditional probability and ra

Question

This question is meant to help with the notion of conditional probability and random variable notation. Suppose a fair coin is tossed. Define the random variable X_1 to be 1 if the outcome is tails and 0 if the outcome is heads. If X_1 = 1, loss an unfair coin where the probability of getting a tails is 0 4. If X_1 = 0, toss the same fair coin. Now define a second random variable X_2 as follows: X_2 = 1 if the outcome of the second coin toss is tails. X_2 0 if the outcome of the second coin toss is heads. Calculate P(X_2 = 0| X_1 = 1) (round answers to the nearest 4th decimal place if needed). This question is meant to help with the notion of conditional probability and random variable notation. Suppose a fair coin is tossed. Define me random variable X_1 to be 1 if the outcome is tails and 0 if the outcome is heads. If X_1 = 1, toss an unfair com where me probability of getting a tails is 0.4 if X_1 = 0, toss the same fair coin. Now define a second random variable X_2 as follows: X_2 = If the outcome of the second coin toss is tails X_2 = 0 if me outcome of the second com toss is heads. Calculate P(X_1 = l| X_2 = 0) (round answers to me nearest 4th decimal place if needed)

Explanation / Answer

1)

0.4 / 0.6 = 2/3

2)

I can gladly help you but you should post it in a new question

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