Real estate ads suggest that 67 of homes for sale have garages, 34.pdf

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Real Analysis: Solution Given that integral a to b f dj exists As x belongs to [a,b] integral a to x definitely exists for f. If A\'(x) = f(x) then by fundamental theorem of Calculus A(x) = integral a to x of f dj, where x is in [a,b] For every point x in [a,b] lt A(x) exists and equal to A(x) as f is continuous. Hence A is also continuous..

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Real estate ads suggest that 67% of homes for sale have garages, 34% have swimming pools, and
18% have both a garage and swimming pool. What is the probability that a house selected at
random has a garageora swimming pool?
(Give answers rounded to 3 decimal places) You draw one card at random from a deck of cards.
What is the probability that the card is
a. A jack or a club?
b. A king or a red card?
76% of children who visit a doctor have a fever, and 46% who have a fever also have a sore
throat. What is the probability that a child who goes to the doctor has a feveranda sore throat?
Give you answer to 3 decimal places.
Juan lives in a large city and commutes to work daily by subway or by taxi. He takes the subway
82% of the time because it costs less, and he takes a taxi the other 18% of the time. When taking

the subway, he arrives at work on time 71% of the time, whereas he makes it on time 93% of the
time when traveling by taxi. (Give your answers correct to three decimal places.)
Solution
P(A or B) = P(A) + P(B) - P(A and B)
= 0.67 + 0.34 - 0.18
= 0.83
a.
P(jack) + P(club) - P(jack of club)
= 4/52 + 13/52 - 1/52
= 0.308
b.
P(king) + P(red) - P(red king)
4/52 + 26/52 - 2/52
= 0.538
0.76*0.46
= 0.350
a) 0.82*0.71 = 0.582
b) 0.18*0.93 = 0.167

Real estate ads suggest that 67 of homes for sale have garages, 34.pdf

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