• The manager of a children's puppet theater has determined that the number of tickets he sells for a Saturday afternoon show is a random variable (T) with a mean of 32.7 and a standard deviation of 4.9 tickets. The tickets sell for $12. Let M = the money he collects from tickets on a random Saturday. (M = 12T) What are the mean and standard deviation of M? (Round to hundredths place. Do not use units in answer.) • Mean of M = • Standard Deviation of M = It costs $125 for the manager to put on each show. Let P = profit from a random Saturday's show. So P = M – 125. What are the mean and standard deviation of P? (Round to hundredths place. Do not use units in answer.) • Mean of P = Standard Deviation of P = Assuming the probability distribution of P (profit) is normally distributed, what is the probability the profit for the show is greater than $200? (Round to hundredths place. Write as a decimal - not percentage.) • P(profit > 200) =

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