Astudent considers how mnay people enter a particular bank during the lunch hour and how many exit. she decided to run a simulation. she assigns the value 0 to represent a person entering the bank and 1 to represent a person exciting the bank. based on a simulation fot the first 20 people she observes, estimate the probability she will see a person entering the bank. 0 1 0 0 0 1 1 1 0 1 0 0 0 1 0 1 0 0 1 0 0.400 0.250 0.500 0.600

Write the sentence as an equation. 6 fewer than the quantity 140 times j equals 104

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

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.