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Chapter 5: Q T5.3. (page 336)

Choose an American household at random and record the number of vehicles they own. Here is the probability model if we ignore the few households that own more than 5 cars: A housing company builds houses with two-car garages. What percent of households have more cars than the

garage can hold? (a)7%(b)13%(c)20%(d)45%(e)55%

Short Answer

Expert verified

The percentage is 20%.

Step by step solution

01

Step 1. Given

The table is:

02

Step 2. Concept 

The probability of an event=numberoffavourableoutcomestotalnumberofoutcomes

03

Step 3. Calculation

The percentage of houses with cards that could be held by the garage is calculated as follows:

P(X>2)=P(X=3)+P(X=4)+P(X=5)=0.13+0.05+0.02=0.20=20%

As a result, the needed percentage is 20%

As a result, the best solution is (c).

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Most popular questions from this chapter

Twenty of a sample of 275 students say they are vegetarians. Of the vegetarians, 9eat both fish and eggs, 3 eat eggs but not fish, and 8 eat neither. Choose one of the vegetarians at random. What is the probability

that the chosen student eats neither fish nor eggs?

(a) 8/275=0.03 (c) 8/20=0.4 (e) 1

(b) 20/275=0.07 (d)

Simulation blunders Explain what鈥檚 wrong with each of the following simulation designs.

(a) A roulette wheel has 38colored slots鈥�38 red, 18 black, and 2green. To simulate one spin of the wheel, let numbers 00 to 18 represent red, 19 to 37

represent black, and 38 to 40 represent green.

(b) About 10% of U.S. adults are left-handed. To simulate randomly selecting one adult at a time until you find a left-hander, use two digits. Let 01 to 10 represent being left-handed and 11 to 00 represent being right-handed. Move across a row in Table D, two digits at a time, skipping any numbers that have already appeared, until you find a number between 01 and 10. Record the number of people selected.

Tossing coins Refer to Exercise 40. Define event B: get more heads than tails. Find P(B).

Who eats breakfast? Students in an urban school were curious about how many children regularly eat breakfast. They conducted a survey, asking, 鈥淒o you eat breakfast on a regular basis?鈥� All 595 students in the school responded to the survey. The resulting data are shown in the two-way table

below.7 Male Female Total Eats breakfast regularly 190110300 Doesn鈥檛 eat breakfast regularly 130165295Total320275595

(a) Who are the individuals? What variables are being measured?

(b) If we select a student from the school at random, what is the probability that we choose

  • a female?
  • someone who eats breakfast regularly?
  • a female who eats breakfast regularly?
  • a female or someone who eats breakfast

regularly?

Make a two-way table that displays the sample space.
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