Mathematics, 20.02.2020 19:18 sherlock19

The probability distribution for the number of goals scored per match by the soccer team Melchester Rovers is believed to follow a Poisson distribution with mean 0.80. Independently, the number of goals scored by the Rochester Rockets is believed to follow a Poisson distribution with mean 1.60. You are planning on placing a bet on the total number of goals scored by the two teams in their next games.

a) What is the variance of the total number of goals scored by Melchester Rovers and Rochester Rockets in their respective games?
b) What is the probability that the total number of goals is greater than (0.80 + 1.60)(0.80 + 1.60)? Give your answer to two decimal places.

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