The Reds and the Cubs are playing 3 games. In each game the probability that the Reds win is 0.54. The probability of the Reds winning is not affected by who has won any previous games.

(a) What is the expected value for the number of games the Reds will win? (Give your answer correct to two decimal places.)

(b) What is the expected value for the number of games the Cubs will win? (Give your answer correct to two decimal places.)

(a) 1.6197

(b) 1.3803

Step-by-step explanation:

(a) Let X denote the number of games the Reds win. If Reds win exactly one it means that in the other two games Reds lost i.e Cubs won. Now,  the probability of the Reds losing is determined by . So, if X wins exactly times, then we should multiply the probabilities associated with

Now,

(b) Let Y denote the number of games won by Cubs. Then by the similar logic as above,

Now

for ex: the reciprocal of 3/4 is 4/3. it is the opposite.

reciprocal definition:

a mathematical expression or function so related to another that their product is one; the quantity obtained by dividing the number one by a given quantity.

a

step-by-step explanation:

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