Question 1 Let X be a continuous random variable with the following probability density function 05x52 elsewhere ftx) = {\"51 a) Evaluate c b) Find F(x) c) Use F(x) to nd P(1 S X S 2) Question 2 The mean daily milk production of a herd of goats has a normal distribution with mean 70kg and standard deviation 13kg. What is the probability that a) the milk production for a goat chosen at random will be less than 60kg? b) the milk production for a goat chosen at random will be greater than 90kg? c) the milk production for a goat chosen at random will be between 60kg and 90kg