When an avocado is selected at random from those delivered to a food store, the probability that it is ripe is 0.12, the probability that it is bruised is 0.054, and the probability that it is ripe and bruised is 0.019. so, rounding your answers to the nearest thousandth where necessary, find the probability that an avocado randomly selected from those delivered to the store is i. not bruised ii. ripe given that is bruised ii. bruised given that it is ripe.

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.

Tim earns $120 plus $30 for each lawn he mows. write an iniqualityvto represent how many lawns he needs to mow to make more than $310

On her first stroke, maya hit a golf ball 146 yards, 2 feet, 11 inches. on her second stroke, she hit it 163 yards, 1 foot, 2 inches. how far did the ball go all together? convert the answer to larger units whenever possible.