A continuous random variable Yhas a probability density function f(y)= 1/6 ,3 ≤ y ≤ 9.
a) What is the mean and standard deviation of Y?
b) What is the probability that Y is exactly 6?
c) What is the probability that Y is between 3 and 5?
d) Briefly describe a real-world example that could be modelled by Y.