The probability distribution of the random variable X that describes the number of cars sold by a dealer is weekly

X 0 1 2 3 4 5 6 7 8

P [X = k] p 0.04 0.04 0.11 0.30 0.23 0.10 0.05 0.03

a) What is the average number of cars sold per week?, What is the most likely?

b)What is the probability that the number of cars sold in a week is more than 2 but less than 5?, What is the maximum number of cars sold weekly with a probability of 50%?,

c) If the middle of a week the number of cars sold is less than 3,

What is the probability that at week's end the average overcome?

a) the average it will be 0 * 0.04 +0.04 * 1. .0,03 * 8 = 4.11

most likely from the histogram I read that the value 1/2 is for 4

b) add the probability histogram between 2 and 5 (excluding Fridays: 0.1 0.11 0.30 = 0.51)?

I do not know how to check the max number of cars with a probability of 50%?

c) I have no idea