Draw a tree diagram for three fair coins tossed together once.
a) Derive the sample space.
b) Find the probability of getting:
i) at least one head
ii) at most one tail
iii) exactly three heads.

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 1.7 days. what is the probability of spending more than 2 days in recovery? (round your answer to four decimal places.)