2-16 An urn contains 8 red chips, 10 green chips, and 2 white chips. A chip is drawn and replaced, and then a second chip drawn. What is the probability of:

(a) A white chip on the first draw?

(b) A white chip on the first draw and a red on the second?

(c) Two green chips being drawn?

(d) A red chip on the second, given that a white chip was drawn on the first?

2-24 The Boston South Fifth Street Softball League consists of three teams:

Mama’s Boys, team 1; the Killers, team 2; and the Machos, team 3.

Each team plays the other teams just once during the season. Mama’s Boys beat the Killers 3 times, beat the Machos 4 times, and so on.

(a) What is the probability that the Killers will win every game next year?

(b) What is the probability that the Machos will win at least one game next year?

(c) What is the probability that Mama’s Boys will win exactly one game next year?

(d) What is the probability that the Killers will win fewer than two games next year?

2-32. There are 10 questions on a true–false test. A student feels unprepared for this test and randomly guesses the answer for each of these.

(a)What is the probability that the student gets exactly 7 correct?

(b)What is the probability that the student gets exactly 8 correct?

(c)What is the probability that the student gets exactly 9 correct?

(d)What is the probability that the student gets exactly 10 correct?

(e)What is the probability that the student gets more than 6 correct?

2-38 Steve Goodman, production foreman for the Florida Gold Fruit Company, estimates that the average sale of oranges is 4,700 and the standard deviation is 500 oranges. Sales follow a normal distribution.

(a)What is the probability that sales will be greater than 5,500 oranges?

(b)What is the probability that sales will be greater than 4,500 oranges?

(c)What is the probability that sales will be less than 4,900 oranges?

(d)What is the probability that sales will be less than 4,300 oranges?

2-51 Use the F table in Appendix D to find the value of F for the upper 5% of the F distribution with:

(a) df1 =5,df2=10

(b) df1 =8,df2=7

(c) df1 =3,df2=5

(d) df1 =10,df2=4