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Finding the Expected Value of Raffle Tickets

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The symphony sells raffle tickets each year to raise money. Assume they sell 2000 tickets and the tickets cost $100 each. The top prize is a $50,000 car and the second prize is a $5,000 gift certificate from a jewelry store and the third prize is a $1,000 shopping spree at an area mall. Find the expected value of buying a raffle ticket.

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Solution Summary

The following posting uses applied statistics to find the expected value of raffle tickets. Step by step calculations are given.

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Solution. Let X be the gain of buying a raffle ticket. Then the distribution of X is

X =k $49,900 ...

Solution provided by:
Changping Wang, MA
Education
  • BSc , Wuhan Univ. China
  • MA, Shandong Univ.
Recent Feedback
  • "Your solution, looks excellent. I recognize things from previous chapters. I have seen the standard deviation formula you used to get 5.154. I do understand the Central Limit Theorem needs the sample size (n) to be greater than 30, we have 100. I do understand the sample mean(s) of the population will follow a normal distribution, and that CLT states the sample mean of population is the population (mean), we have 143.74. But when and WHY do we use the standard deviation formula where you got 5.154. WHEN & Why use standard deviation of the sample mean. I don't understand, why don't we simply use the "100" I understand that standard deviation is the square root of variance. I do understand that the variance is the square of the differences of each sample data value minus the mean. But somehow, why not use 100, why use standard deviation of sample mean? Please help explain."
  • "excellent work"
  • "Thank you so much for all of your help!!! I will be posting another assignment. Please let me know (once posted), if the credits I'm offering is enough or you ! Thanks again!"
  • "Thank you"
  • "Thank you very much for your valuable time and assistance!"
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