The number of donuts a 9 year old child eats in a month is between .5 and 4 and follows uniform continuous distribution.
a. find the probability that a 9 year old child eats more than 2 donuts.
b. find the probability that a 9 year old child eats more than 2 donuts given that he/she has already eaten more than 1.5 donuts.
c. find the probability that one 9 year old child eats more than 3 donuts and another 9 year old eats less than 1 donut. Please be explicit about any assumptions you make.
d. on average, how many donuts with a 9 year old eat?