In the game of roulette, a wheel is spun and you place bets on where it will stop. one popular bet is that it will stop on a red slot; such a bet has an 18/38 chance of winning. if it stops onred, you double the money you bet. if not, you lose the money you bet. suppose you play 3 times, eachtime with a $1 bet. let y represent the total amount won or lost. write a probability model for y?

Four quarts of a latex enamel paint will cover about 200 square feet of wall surface. how many quarts are needed to cover 98 square feet of kitchen wall and 52 square feet of bathroom wall

Aprisoner is trapped in a cell containing three doors. the first door leads to a tunnel that returns him to his cell after two days of travel. the second leads to a tunnel that returns him to his cell after three days of travel. the third door leads immediately to freedom. (a) assuming that the prisoner will always select doors 1, 2 and 3 with probabili- ties 0.5,0.3,0.2 (respectively), what is the expected number of days until he reaches freedom? (b) assuming that the prisoner is always equally likely to choose among those doors that he has not used, what is the expected number of days until he reaches freedom? (in this version, if the prisoner initially tries door 1, for example, then when he returns to the cell, he will now select only from doors 2 and 3.) (c) for parts (a) and (b), find the variance of the number of days until the prisoner reaches freedom. hint for part (b): define ni to be the number of additional days the prisoner spends after initially choosing door i and returning to his cell.

Which statements are true about box plots? check all that apply. they describe sets of data. they include the mean. they show the data split into four parts. they show outliers through really short “whiskers.” each section of a box plot represents 25% of the data.