When sam goes to a restaurant he always tips the server $2 plus 10% of the cost of the meal is sams distribution of meal costs h

Question

3 years ago

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When sam goes to a restaurant he always tips the server $2 plus 10% of the cost of the meal is sams distribution of meal costs h

as a mean of $9 and a standard deviation of $3 what are the mean and standard deviation of of the distribution of his tips?

Advanced Placement (AP)

1 answer:

gayaneshka [121] · Answer 1 · 2022-04-17T17:03:46+03:00

Given tip, T = $2.00 + (0.1 X C)
where C = cost of meal
Mean of cost of meals, M = $9.00
Standard deviation of meal, Sm = $3.00
If C = M,
Mean of tips Mt = $2.00 + (0.1 X $9.00)
Mt = $2.90, mean of tips
Standard deviation of tips, St = square root of mean of tips
St = ($2.90)^0.5
St = $1.70, standard deviation of tips

Therefore, mean of tips = $2.90 and standard deviation of tips = $1.70