The following table represents the joint probability distribution of the number of letters dropped daily in mailbox X and mailbox Y. Y=2 Y=3 Y=4 Y=5 PX(X=x) X=0 0.3 0.03 0.2 0.54 X=1 0.04 0.025 0.04 0.03 X=2 0.07 0.1 0.01 X=3 0.025 0.02 0.02 PY(Y=y) 0.135 a. Determine the probability of 3 letters being dropped in mailbox X and 4 letters being dropped at mailbox Y. Answer in fraction or in exact decimals unanswered b. What is the probability of at least 3 letters being dropped in both mailboxes X and Y. Answer in fraction or in exact decimals unanswered c. If at least 4 letters were dropped in mailbox Y, what is the probability of 2 letters being dropped in mailbox X? Answer in fraction or in exact decimals unanswered
The following table represents the joint probability distribution of the number of letters dropped daily in mailbox X and mailbox Y. Y=2 Y=3 Y=4 Y=5 PX(X=x) X=0 0.3 0.03 0.2 0.54 X=1 0.04 0.025 0.04 0.03 X=2 0.07 0.1 0.01 X=3 0.025 0.02 0.02 PY(Y=y) 0.135 a. Determine the probability of 3 letters being dropped in mailbox X and 4 letters being dropped at mailbox Y. Answer in fraction or in exact decimals unanswered b. What is the probability of at least 3 letters being dropped in both mailboxes X and Y. Answer in fraction or in exact decimals unanswered c. If at least 4 letters were dropped in mailbox Y, what is the probability of 2 letters being dropped in mailbox X? Answer in fraction or in exact decimals unanswered
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