You and a friend play a game where you each toss a balanced coin. if the upper faces on the coins are both tails, you win $8; if the faces are both heads, you win $4; if the coins do not match (one shows a head, the other a tail), you lose $2 (win (−$ calculate the mean and variance of y, your winnings on a single play of the game. note that e(y) > 0.

Mean: $2

Variance: 18

Step-by-step explanation:

There are 4 possible outcomes:

TT (both tails)

TH (tail, head)

HT (head, tail)

HH (head, head)

Find the probabilities:

Complete the table

The mean is

The variance is

828. all there is to it!

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$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)