How to find percentiles of a Normal distribution?
The weight of a given Africander breed is said to follow a normal distribution with mean 200 kg and standard deviation of 10. Calculate a) The probability that the weight of the Africander is less than 215 kg.
b) The probability that the weight lies between 190 kg and 210 kg.
c) Find the weight M kg such that the probability of X > M = 5%
d) Given that there are 10 Africander whose weights are greater than M kg, Calculate the probability that there are exactly 2 Africanders whose weights are greater than M kg.