Why is the table not a probability distribution table? Result P

0 0.25

1 0.45

2 0.0

3 0.35

A. each probability is non-negative

B. each probability is different

C. the sum of the probabilities is not 1.00

D. the probability that the result equals 2 is 0

Jose predicted that he would sell 48 umbrellas. he actually sold 72 umbrellas. what are the values of a and b in the table below? round to the nearest tenth if necessary

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.

For every touchdown scored by the timberwolves the mascot does three backflips if the cheerleaders set off six confetti cannons how many touchdowns did the timberwolves score if the cheerleader set of 18 confetti cannons