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Stat 104 Chapter 5 Name:________________________

5.2 Homework

page 265 #2, 3, 7, 11, 13, 15, 17, page 266 #19, 21, 23, 25, 27, 33, 35, 39, 41, page 268 #63, page 269 #78

2. Describe the intersection of two mutually exclusive events.

3. Describe the union of two mutually exclusive events.

Consider the experiment of rolling a fair die once. Find the indicated probabilities:

7. Observing a number that is not 6.

11. Ec, where E: {1, 3, 5}

Consider the experiment of drawing a single card at random from a shuffled standard deck of 52 cards. Define the following events. Find the indicated unions and intersections:

J: The card is a jack.

B: The card is a black suit.

S: The card is a spade.

13. J Ⴖ B

15. B Ⴖ S

17. J U S

Find the indicated probabilities for the experiment described in the previous problem:

19. P(J Ⴖ B)

21. P(B Ⴖ S)

23. P(J U S)

The following contingency table contains the counts of those who did and did not survive the sinking of the RMS Titanic, along with whether they were adults or children. Find the following probabilities:

	Child	Adult	Total
Did not survive	52	1438	1490
Survived	57	654	711
Total	109	2092	2201

25. P(Child or Adult)

27. P(Child and Survived)

33. P(Adult or Survived)

35. P(Adult or Did not survive)

The following table shows a list of the top 10 largest companies from Forbes magazine’s Global 2000 list. It shows the country and whether the company’s assets surpass $1 trillion.

Company	Country	Assets
Industrial and Commercial Bank of China	China	Over $1 trillion
China Construction Bank	China	Over $1 trillion
Agricultural Bank of China	China	Over $1 trillion
JPMorgan Chase	USA	Over $1 trillion
Berkshire Hathaway	USA	Under $1 trillion
Exxon Mobil`	USA	Under $1 trillion
General Electric	USA	Under $1 trillion
Wells Fargo	USA	Over $1 trillion
Bank of China	China	Over $1 trillion
PetroChina	China	Under $1 trillion

The experiment is to select a company at random. Find the probability of the following:

39. Choosing a company with over $1 trillion in assets.

41. Selecting a company that is from China and has over $1 trillion in assets.

The following table shows the size and recommended gasoline for ten 2014 automobiles.

Car	Car size	Recommended gasoline
BMW 328i	Compact	Premium
Chevrolet Camaro	Compact	Regular
Honda Accord	Compact	Regular
Cadillac CTS	Midsize	Premium
Nissan Sentra	Midsize	Regular
Subaru Legacy AWD	Midsize	Premium
Toyota Camry	Midsize	Regular
Ford Taurus	Large	Regular
Hyundai Genesis	Large	Premium
Rolls-Royce	Large	Premium

Complete the contingency table shown below.

		Rec.	Gasoline
		Regular	Premium	Total
Car	Compact
Size	Midsize
	Large
	Total

63. Use the contingency table you filled in to find the following probabilities:

a. Choosing a midsize car that uses premium gasoline.

b. Choosing a midsize car that uses regular gasoline.

c. Selecting a large car that uses premium gasoline.

d. Selecting a large car that uses regular gasoline.

The experiment is to choose one letter at random from a sample of 1000 letters. The sample space is the 26 letters of the alphabet. The total sample size is 1000, so you can find the relative frequencies of the letters in English simply by dividing each frequency by the total sample size.

130

78. Choosing one letter at random, which is it more likely to be, a consonant or a vowel? Show how you made your decision.

Stat 104 5.2 HW.docx

Fall 2020 Instructor J Hodgson Page 1 of 2