You run a small coffee shop that offers five different sizes of coffee cups: small, medium, large, extra-large, and jumbo. You estimate that the probability distribution of the sizes of the cups sold is a follows:

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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6. Solve all plants please
6. You run a small coffee shop that offers five different sizes of coffee cups: small, medium, large,
extra-large, and jumbo. You estimate that the probability distribution of the sizes of the cups sold is as
follows:
Cup Size
Small (8 oz)
Medium (12 oz)
Large (16 oz)
Extra-large (20 oz)
Jumbo (24 oz)
Profit per Cup
$1.50
$2.00
$2.50
$3.00
$3.50
Probability
0.2
0.3
0.3
0.1
1) What is the probability of selling a Jumbo size cup of coffee?
2) What is the expected profit from selling a cup of coffee?
3) What is the variance of the profit from selling a cup of coffee?
4) What is the standard deviation of the profit from selling a cup of coffee?
Transcribed Image Text:6. You run a small coffee shop that offers five different sizes of coffee cups: small, medium, large, extra-large, and jumbo. You estimate that the probability distribution of the sizes of the cups sold is as follows: Cup Size Small (8 oz) Medium (12 oz) Large (16 oz) Extra-large (20 oz) Jumbo (24 oz) Profit per Cup $1.50 $2.00 $2.50 $3.00 $3.50 Probability 0.2 0.3 0.3 0.1 1) What is the probability of selling a Jumbo size cup of coffee? 2) What is the expected profit from selling a cup of coffee? 3) What is the variance of the profit from selling a cup of coffee? 4) What is the standard deviation of the profit from selling a cup of coffee?
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