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Course: AP??/College Statistics?>?Unit 8
Lesson 3: Transforming random variablesTransforming random variables
Problem
A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let represent the shop's profit on a randomly selected pizza. Here's the probability distribution of along with summary statistics:
Small | Medium | Large | |
---|---|---|---|
Mean: | |||
Standard deviation: |
The company is going to run a promotion where customers get off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let represent their profit on a randomly selected pizza with this promotion.
What are the mean and standard deviation of ?