Introductory Statistics Homeworks

SECTION 3.3

In Exercises 1–5, determine whether the events are mutually exclusive. Explain your reasoning.

1. Event A: Randomly select a red jelly bean from a jar.

Event B: Randomly select a yellow jelly bean from the same jar

2. Event A: Randomly select a person who loves cats.

Event B: Randomly select a person who owns a dog.

3. Event A: Randomly select a U.S. adult registered to vote in Illinois.

Event B: Randomly select a U.S. adult registered to vote in Florida.

4. You are given that P1A2 = 0.15 and P1B2 = 0.40. Do you have enough information to find P1A or B2? Explain.

5. A random sample of 250 working adults found that 74% access the Internet at work, 88% access the Internet at home, and 72% access the Internet at both work and home. Find the probability that a person in this sample selected at random accesses the Internet at home or at work.

In Exercises 6–9, find the probability.

6. A card is randomly selected from a standard deck of 52 playing cards. Find the probability that the card is between 4 and 8, inclusive, or is a club.

7. A card is randomly selected from a standard deck of 52 playing cards. Find the probability that the card is red or a queen.

8. A 12-sided die, numbered 1 to 12, is rolled. Find the probability that the roll results in an odd number or a number less than 4.

9. An 8-sided die, numbered 1 to 8, is rolled. Find the probability that the roll results in an even number or a number greater than 6.