Hi,
Note: The probability of x successes in n trials is:
P = nCx*where p and q are the probabilities of success and failure respectively.
In this case p & q are = 1/2 or .5
nCx =
(a) Exactly five of the patients will return? 9C5(.5)^5(.5)^4
(b) All nine will return? 9C9(.5)^9
(c) At least eight will return? 1 - 9C9(.5)^9
(d) At least one will return? 9C0(.5)^0(.5^9) + 9C1(.5)^1(.5)^8
(e) How many patients would be expected to return to the same dentist, i.e., what is the mean of the distribution?