3. What is the probability of getting exactly two heads in five independent flips of a
fair coin?
4. The call center of an internet provider company processes both technical help
calls and sales calls. Equal numbers of technical and sales calls arrive every day
on average. Fifty percent of technical calls are completed in less than two
minutes, while the remaining fifty percent take more than two minutes. Ninety
five percent of sales calls are completed in less than two minutes, while the
remaining five percent call are completed in more than two minutes.
An operator tells you that he just processed a phone call in more than two minute:
without telling you if it was a sales or a technical call. Given that the phone call
took more than two minutes what is the probability of being a technical help call?
5. If two fair dice are rolled once, what is the probability that the total number of dot
shown is,
a. Equal to 5
b. Divisible by 3
5. A slot machine has four separate wheels that rotate independently. On each whee
are four pictures of a lemon and one picture of a cherry. Each time the slot
machine level is pulled, one picture on each wheel will appear in the window. In
order to win a cash prize, three or more pictures of a cherry must appear in the
window. Find the probability of winning a prize when the lever is pulled once.