- [Maximum mark: 7]
The mass, W, of Manx cats is normally distributed with a mean of 4.5 kg and a standard deviation of 0.4 kg.
(a) A Manx cat is selected at random. Calculate the probability this cat’s mass is more than 3.5 kg. [2]
The following curve represents this distribution. It is known that P(W < a) = 0.1 and P(W > b) = 0.1.
(b) Find the value of
(i) a [2]
(ii) b. [2]
(c) Two Manx cats are selected at random from a large population. Find the probability that they both have a mass less than 3.5 kg. [2]