How large would the probability of a "don't match" outcome have to be to make a universal price cut statistically worthwhile?

For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. complete parts (a) through (c) below. x (cash prize, $) p(x) grand prizegrand prize 0.000000008860.00000000886 200,000 0.000000390.00000039 10,000 0.0000016950.000001695 100 0.0001582930.000158293 7 0.0039114060.003911406 4 0.0080465690.008046569 3 0.012865710.01286571 0 0.975015928140.97501592814 (a) if the grand prize is $13 comma 000 comma 00013,000,000, find and interpret the expected cash prize. if a ticket costs $1, what is your expected profit from one ticket? the expected cash prize is $nothing.

6carla would like to buy a dress, a dresser for her bedroom, and a home theater system. she has one month's worth of living expenses in her emergency fund. carla decides to save for the home theater system. did carla make the right decision? why or why not? a. yes; her emergency fund is full and the other items will probably be less expensive. b. yes; she could save more for her emergency fund, but the home theater will be harder to save for. c. no; she should save more for her emergency fund because she has saved less than the recommended amount. d. no; she should have bought the dress and dresser first because she could afford them right away. reset next

Sam and diane are completing their federal income taxes for the year and have identified the amounts listed here. how much can they rightfully deduct? • agi: $80,000 • medical and dental expenses: $9,000 • state income taxes: $3,500 • mortgage interest: $9,500 • charitable contributions: $1,000.