) Consider this game of chance with a monetary payoff. First, a real number U is chosen uniformly at random from the interval r0, 10s. Next, an integer X is chosen according to the Poisson distribution with parameter U. The player receives a reward of $X. What would be the fair price charged for playing this game? That is, how much should it cost to play so that expected net gain is zero?

Chamberlin wants to bottle 1\8 of her apple cider. she pours the apple cider evenly among 6 bottles. what fraction of her apple cider will she put in each bottle? what expression could represent this situation?

The volume of gas a balloon can hold varies directly as the cube of its radius. imagine a balloon with a radius of 3 inches can hold 81 cubic inches of gas. how many cubic inches of gas must be released to reduce the radius down to 2 inches?

In a survey of 1015 adults, a polling agency asked, "when you retire, do you think you will have enough money to live comfortably or not. of the 1015 surveyed, 534 stated that they were worried about having enough money to live comfortably in retirement. construct a 90% confidence interval for the proportion of adults who are worried about having enough money to live comfortably in retirement.