1) There are four women and eight men on a committee. A subcommittee of four people is selected at random. What is the probability that allfour people selected are women?, given that allfour are the same? gender?

2)A teacher says that the top 10?% of the class received an A on the last test. The scores were normally distributed with mean 68 and standard deviation 18. Find the minimum score required to get an A.

Use Z-score table

3) At Dona'sDonutDen?, the probability that a customer orders coffee is 0.45?, the probability that a customer orders pie is 0.23?, and the probability that a customer orders both coffee and pie is 0.18.

a. Find the probability that a customer orders neither coffee nor pie.

b. find the probability that a customer orders only

4)An unfair coin with? Pr[H] = 0.4 is flipped. If the flip results in a? head, a marble is selected at random from a urn containing four red and six blue marbles.? Otherwise, a marble is selected from a different urn containing two red and six blue marbles. Find the probability that...

a. a blue marble is selected

b. the flip resulted in a tail?, given the selected marble selected was blue.

5)Given a mean of 100 and a standard deviation of? 10, convert the random variables to? Z-scores, then use a standard normal table below to find the probabilities.

?[a] Pr[X ?110?]

?[b]??Pr[90?? X? ?120?]

6) The probability of a snowstorm on Thanksgiving is 0.40 and the probability of a snowstorm on Christmas is 0.90. Assuming that these two events are? independent, what is the probability of a snowstorm on Thanksgiving but not on? Christmas?

7) Find the expected value of the random variable.

x l 2 3 4 5 P(x)l0.15 0.05 0.30 0.50 What is the expected value? p = Round to at least two decimal places