In: Statistics and Probability
Invitations to a party are sent to 100 student.
a) Suppose that for every student, the chance that he or she will attend the party is 40% if it rains and 80% if it does not rain. If the weather forecast says it will rain with a probability of 30%, how many students are expected to show up for the party?
b) Find the probability that at least 70 students show up for the party. If you use approximation methods, state and check the conditions.