Let X be the number of minutes it takes to drain a soda filler of a particular flavor in order to change over to a new flavor. The probability density function for X is: f(x)=X/15, x= 1,2,3,4,5
a) What is the probability that it will take exactly three minutes to drain the filler?
b) What is the probability that it will take at least two minutes but not more than four minutes?
c) Present the the cumulative distribution function in tabular form?
d)What is the probability that the draining process will take at most three minutes?
e) What is the probability that it will take more than two minutes?