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 asfollows:Cup SizeSmall (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$3.50Probability0.20.30.30.11) 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?

a) Let P(jumbo) be the probability of selling a jumbo size cup of coffee. Then, we have: P(small) +…

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:

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:

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.7: Probability

Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...

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Question

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?

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