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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

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

(a) According to the Centers for Disease Control and Prevention, about 26%of U.S. adults were obese in 2008. To simulate choosing 8adults at random and seeing how many are obese, we could use two digits. Let 01to 26represent obese and 27to 00represents not obese. Move across a row in Table D, two digits at a time, until you find 8 distinct numbers (no repeats). Record the number of obese people selected.

(b) Assume that the probability of a newborn being a boy is 0.5. To simulate choosing a random sample of 9babies who were born at a local hospital today and observing their gender, use one digit. Use ran dint (0,9) on your calculator to determine how many babies in the sample are male.

A Titanic disaster In 1912the luxury liner Titanic, on its first voyage across the Atlantic, struck an iceberg and sank. Some passengers got off the ship in lifeboats, but many died. The two-way table gives information about adult passengers who lived and who died, by class of travel. Suppose we choose an adult passenger at random.

(a) Given that the person selected was in first class, what’s the probability that he or she survived?

(b) If the person selected survived, what’s the probability that he or she was a third-class passenger?

Ten percent of U.S. households contain 5or more people. You want to simulate choosing a household at random and recording whether or not it contains 5or

more people. Which of these are correct assignments of digits for this simulation? (a) Odd = Yes (5or more people); Even = No (not 5or more people)

(b) 0= Yes; 1,2,3,4,5,6,7,8,9= No

(c) 5= Yes; 0,1,2,3,4,6,7,8,9= No

(d) All three are correct.

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