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MediumDiscrete distributions
OpenStax, Introductory Statistics 2e §4.2 Mean or Expected Value and Standard Deviation · Exercise 20 · Probability · Discrete distributions

Mean or Expected Value and Standard Deviation · Exercise 20

A theater group holds a fund-raiser. It sells 100 raffle tickets for $5 apiece. Suppose you purchase four tickets. The prize is two passes to a Broadway show, worth a total of $150.

(a) What are you interested in here?
(b) In words, define the random variable X.
(c) List the values that X may take on.
(d) Construct a PDF.
(e) If this fund-raiser is repeated often and you always purchase four tickets, what would be your expected average winnings per raffle?

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OpenStax, Introductory Statistics 2e · §4.2 Mean or Expected Value and Standard Deviation · Exercise 20

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