Jesse bought a 3-10-gram bag of collee beans He uses 18.75 grams of coflee beans each day When there are 10 grams ol collee beans remaining in the bag. Jerse will buy another bag to make sure he doesn't run out of coffee
Part A
Use the drop-down menus below to create an equation that represents the situation, in which d represents the number of days until Jense buys another
bag of coffee beans
Part 3
How many days can he use the 340 gram bag of coffee beans before he buys a new bag?
Respond in the space provided
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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.