Q1) Statistics department is contacting alumni by telephone asking for donation to help fund new computer laboratory. Past history illustrates that 40% of alumni contacted in this manner will make a contribution of at least $100. A random sample of 20 alumni is selected. Let X represents number of alumni which makes at contribution of at least $100.
a) Explain probability distribution of X (name and parameters).
b) Determine the probability that exactly 9 alumni will make contribution of at least $100?
c) Find out the probability that at least 9 alumni will make contribution of at least $100?
d) How many alumni would you expect to make a contribution of at least $100?
Determine the probability that at least 9 but not more than 12 will make a contribution of at least $100?