4. High temperatures in a certain city for the month of August follow a uniform distribution over the interval 63^o F to 90^o F. What is the probability that a randomly selected August day has a high temperature that exceeded 68^o F?

5. There are 35 chocolates in a box, all identically shaped, where 8 are filled with nuts, 12 with caramel, and 15 are solid chocolate. You randomly select one piece, eat it, and then select a second piece. Find the probability of selecting a solid chocolate candy followed by a nut candy.

6. What is the probability that a committee of 3 men and 4 women be formed from a group of 9 men and 9 women?

7. You are playing roulette at a casino in Vegas. The wheel has 18 red slots, 18 black slots, and two green slots. In 4 spins of the wheel what is the probability of at least one red?

8. A quiz consists of 20 multiple choice questions, each with five possible answers, only one of which is correct. If a student guesses on each question, what is the mean and standard deviation of the number of correct answers? Round your answer to two decimal places.