Please help me with this problem.

geo = ( 1- P) ? 1. Suppose that at a certain bus stop, there will always be a random number of people waiting for the bus. The probability distribution of x, the number of people entering the bus when it arrives, is shown below: x 0 1 2 3 4 5 6 7 p(x) .04 11 12 14 26 . 16 05 05 X 8 9 10 11 12 13 14 15 p(x) .02 .02 01 .005 .005 005 .0033 .0017 a. What is the probability that fewer than 10 people are waiting for the bus? b. On average, how many people would we expect to be waiting at the bus stop at any given time? mean c. Suppose the bus arrives and it only has 8 empty seats. What is the probability that somebody will have to wait for the next bus? (In other words, there are too many people waiting.) BONUS (max 3 points): What is the probability that somebody will have to wait for the next bus for three straight buses? a 0.0 4 + 0.11 + 0. 12 +0 14 + 0. 26 + 0. 16 to. 05 + 0.05 +0.02+ 0.02 0. 97 is the probability that is fewer than 10 0 03 ) 1 - 0. 97 - 10.0 c ) (0.97)8 0 79 37 43 P ( x > 8 ) -4