# Math assignment

There are 20 questions, all short answer.

o This quiz is **open book **and **open notes**, and you may take as long as you like on it provided that you submit the quiz no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, **but you may not consult anyone**.

o You should show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit.

o Please type your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned handwritten work is also acceptable. Be sure to include your name in the document. Review instructions for submitting your quiz in the Unit Quizzes Module.

**Please record your answer in the table below.**

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**Find the probability.**

**1. People were given three choices of soft drinks and asked to choose one favorite. The following table shows the results.**

Find P(person is over 40|person drinks root beer).

2. The table below describes the smoking habits of a group of asthma sufferers.

If one of the 1124 people is randomly selected, find the probability that the person is a man or a heavy smoker.

3. A 6-sided die is rolled. What is the probability of rolling a number less than 6?

4. Two 6-sided dice are rolled. What is the probability the sum of the two numbers on the die will be 5, P(sum of 5)?

5. A single fair die is rolled. The number on the die is a 3 or a 6.

6. Find the probability of correctly answering the first 3 questions on a multiple choice test if random guesses are made and each question has 5 possible answers.

7. The table shows the political affiliation of voters in a small midwestern town and their positions on stronger drug control laws.

Stronger Drug Control

Find the probability that a Democrat opposes stronger drug control laws.

8. If 81% of scheduled flights actually take place and cancellations are independent events, what is the probability that 3 separate flights will all take place?

**Provide an appropriate response.**

**9. The probability distribution for the random variable X is:**

What is the expected value of X?

**List the outcomes of the sample space.**

**10. A group of 18 songs are assigned numbers 1 through 18. List the outcomes of sample space of the event choosing a song with a number 5 or less.**

**Determine independence. Answer Yes or No.**

**11. According to a survey, 8% of students at a college are left handed, 53% are female, and 4.24% are both female and left handed. Is being left handed independent of gender?**

**Find the odds.**

**12. If the sectors are of equal size, what are the odds of spinning an A on this spinner?**

13. In a certain town, 20% of people commute to work by bus. If a person is selected randomly from the town, what are the odds against selecting someone who commutes by bus?

**The graduates at a southern university are shown in the table.**

**A student is selected at random from the graduating class.**

**14. Find the probability that the student is female, given that the student is receiving an education degree, P(F|E).**

**Find the indicated probability.**

**15. In a family with family with 4 children, excluding multiple births, what is the probability of having 2 girls and 2 boys, in that order? Assume that a boy is as likely as a girl at each birth.**

**Use the tree diagram to find the requested probability.**

**16. Find P(X∣A). Give your answer as a decimal and round your answer to three decimal places if necessary.**

a = 0.1, b = 0.9, c = 0.8, d = 0.2, e = 0.3, f = 0.7

**Estimate the indicated probability.**

**17. College students were given three choices of pizza toppings and asked to choose one favorite. The following table shows the results.**

A randomly selected student prefers a cheese topping.

**Solve the problem.**

**18. At the Stop ‘n Go tune-up and brake shop, the manager has found that an SUV will require a tune-up with a probability of 0.6, a brake job with a probability of 0.1 and both with a probability of 0.02. What is the probability that an SUV requires neither type of repair?**

**Find the expected value.**

**19. A car agency has found daily demand to be as shown in the table.**

Find the expected number of customers.

**Prepare a probability distribution for the experiment. Let x represent the random variable, and let P represent the probability.**

**20. Three coins are tossed, and the number of heads is noted.**

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