Question

Suppose that the probability of a team scoring a goal from a corner in a hockey game is 0.3.

a) Suppose that the team has 10 corners. What is the probability, correct to 4 decimal
places, that the team will score:
i) one goal?
ii) at least two goals?
iii) no more than two goals?

b) What is the least number of corners which would be required to ensure that:
i) the probability of scoring at least one goal is more than 0.95?
ii) the probability of scoring more than one goal is more than 0.95?