14. A newly opened appliance store is giving away free gifts to customers as a promotion as they enter the store. This attracted lot of customers, who lined-up in front
of the store before it opens. The gifts are given away in a pattern consisting of: serving
dish, cooking pot, set of spoons, crystal bowl, nonstick pan, and water jug. Heather is
the 26th person in the line. How many people will she need to allow go ahead of her to
make sure that she receives the serving dish?

You can ride your bike around your block 6 times and the whole neighborhood 5 times in 16 minutes. you can ride your bike around your block 3 times and the whole neighborhood 10 times in 23 minutes. how long does it take you to ride around the neighborhood?

Jimmy can run 3.5 miles in 20 minutes. how far can ne run in one hour and ten minutes?

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.