1. a game at the fair involves a wheel with seven sectors. two of the sectors are red, two of the sectors are purple, two of the sectors are yellow, and one sector is blue. landing on the blue sector will give 3 points, landing on a yellow sector will give 1 point, landing on a purple sector will give 0 points, and landing on a red sector will give –1 point. a. let x = the points you have after one spin. fill out the missing values in the table. xi p(xi) b. if you take one spin, what is your expected value? c. what changes could you make to values assigned to outcomes to make the game fair? prove that the game would be fair using expected values.

This is different from the first one can someone me

Christine wong has asked dave and mike to her move into a new apartment on sunday morning. she has asked them both, in case one of them does not show up. from past experience, christine knows that there is a 40% chance that dave will not show up and a 30% chance that mik a. what is the probability that both dave and mike will show up? (round your answer to 2 decimal places.) b. what is the probability that at least one of them will show up? c. what is the probability that neither dave nor mike will show up? (round your answer to 2 decimal places.)e will not show up. dave and mike do not know each other and their decisions can be assumed to be independent.

Gabrielle's age is two times mikhail's age. the sum of their ages is 84. what is mikhail's age?