A pizzeria offers three sizes of cola, small, medium, and large to accompany its pizza. Soft drinks cost $0.80, $0.90 and $1.20, respectively. Thirty percent of the orders correspond to the small size; 50%, to the medium, and 20%, to the large. Arrange the size of the soft drinks and the probability of sale into a probability distribution. a) Is it a discrete probability distribution? Please indicate why. b) Calculate the average amount charged per cola soft drink. c) What is the variance of the amount charged for a cola drink? What is the standard deviation?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
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Chapter1: Combinatorial Analysis
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A pizzeria offers three sizes of cola, small, medium, and large to accompany its pizza. Soft drinks cost $0.80, $0.90 and $1.20, respectively. Thirty percent of the orders correspond to the small size; 50%, to the medium, and 20%, to the large. Arrange the size of the soft drinks and the probability of sale into a probability distribution.
a) Is it a discrete probability distribution? Please indicate why.
b) Calculate the average amount charged per cola soft drink.
c) What is the variance of the amount charged for a cola drink? What is the standard deviation?

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