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According to the U.S. Census Bureau, in 2010 pet ownership in the U.S. was distr

ID: 3183729 • Letter: A

Question

According to the U.S. Census Bureau, in 2010 pet ownership in the U.S. was distributed as shown in the table below (out of every 1000 households). What is the probability of having no pets? What is the probability of having a pet? If a person is selected at random, what is the probability the person earns under $35,000 and owns a dog? What is the probability the person earns under $35,000 or owns a dog? Use another method for determining the probability of earning under $35,000 or owning a dog to verify your result for part (d). What is the probability that a randomly-selected person who earns under $35,000 owns a dog?

Explanation / Answer

from above

b)probability= (1060-222)/1060 =838/1060a) probability=222/1060

c)=(66+64)/1060 =130/1060

d)=(269+176+77+82+97)/1060 =701/1060

e)=(386+269+176-64-66)/1060=701/1060 (this is from P(AUB)=P(A)+P(B)-P(AnB)

f)=(64+66)/(269+176)=130/445

household Income dogs cats birds horses no pets total <20000 64 63 69 3 70 269 20000 to 34999 66 59 7 3 41 176 35000 to 54999 77 66 8 4 38 193 55000 to 84999 82 68 7 4 31 192 >85000 97 77 9 5 42 230 total 386 333 100 19 222 1060
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