3. A neighborhood Christmas raffle has a total of 50 raffle tickets and features 5 big prizes and 10 smaller ones. (The
Posted: Thu May 05, 2022 9:11 pm
3. A neighborhood Christmas raffle has a total of 50 raffle tickets and features 5 big prizes and 10 smaller ones. (The remaining 35 tickets win no prizes.) A family of 4 participates in the raffle and selects 4 tickets. (a) Let X denote the number of prizes won by the family. Compute the cumulative distribution function of X. (1 point) (b) Let Y denote the number of small prizes won by the family. Compute the probability mass function of Y. (2 points) (c) Compute the expected number of large prizes won by the family. (2 points)