A student offered random people 5 cookies total. Let X be number of cookies that the person took, and let X have the following probability distribution (you may assume that these are population values):
X 0 1 2 3 4 5
P(X) 0.05 0.25 0.38 0.18 0.11 k
a) Compute the value k such that X has a valid probability distribution.
b) Compute Mx.
c) Determine variance
d) Compute the probability of three or more cookies being taken?
e) Determine the most likely number of cookies that a random person will take?
f) If you know that someone took less than 3 cookies, what is the probability they took 1 cookie?