1.Fourballs are selected at random without replacement from an urn containing three white balls and five blue balls. Find the probability of the given event. (Round your answer to three decimal places.)

Two or three of the balls are white.

2.A customer from Cavallaro's Fruit Stand picks a sample of4oranges at random from a crate containing75oranges, of which5are rotten. What is the probability that the sample contains 1 or more rotten oranges? (Round your answer to three decimal places.)

3.Electronic baseball games manufactured by Tempco Electronics are shipped in lots of36. Before shipping, a quality-control inspector randomly selects a sample of8from each lot for testing. If the sample contains any defective games, the entire lot is rejected. What is the probability that a lot containing exactly3defective games will still be shipped? (Round your answer to three decimal places.)

4.A student studying for a vocabulary test knows the meanings of14words from a list of22words. If the test contains10words from the study list, what is the probability that at least8of the words on the test are words that the student knows? (Round your answer to three decimal places.)

5.What is the probability that at least two of the nine justices of the U.S. Supreme Court have the same birthday? (Use a 365-day year. Round your answer to four decimal places.)

6.Human blood is classified by the presence or absence of three main antigens (A, B, and Rh). When a blood specimen is typed, the presence of the A and/or B antigen is indicated by listing theletterAand/or theletterB.If neither the A nor the B antigen is present, theletterOis used.

The following table gives the percent of a certain country's population having each of the eight possible blood types in the sample space. Note that the presence or absence of the Rh antigen is indicated by the symbols + or, respectively.

BloodTypes. A⁺ A B⁺ B AB⁺ AB O⁺ O

Percent. 35.9. 6.3. 9.5. 1.5. 3.2 0.6 37.4 5.6

(a) What is the probability that a person selected randomly from the population has a blood type that is type O or Rh⁺?

(b) What is the probability that a person selected randomly from the population has a blood type that contains the A antigen?

(c) What is the probability that a person selected randomly from the population has a blood type that is type A or Rh?

7.

In a survey of 200 employees of a company regarding their 401(k) investments, the following data were obtained.

150 had investments in stock funds.

79 had investments in bond funds.

57 had investments in money market funds.

47 had investments in stock funds and bond funds.

35 had investments in stock funds and money market funds.

34 had investments in bond funds and money market funds.

22 had investments in stock funds, bond funds, and money market funds.

(a) What is the probability that an employee of the company chosen at random had investments in exactly two kinds of investment funds? (Enter your answer to three decimal places.)

(b) What is the probability that an employee of the company chosen at random had investments in exactly one kind of investment fund? (Enter your answer to two decimal places.)

(c) What is the probability that an employee of the company chosen at random had no investment in any of the three types of funds? (Enter your answer to three decimal places.)