A. Consider an experiment, the events A and B , and probabilities P( A ) = 0.55,
ID: 3376803 • Letter: A
Question
A. Consider an experiment, the events A and B, and probabilities P(A) = 0.55, P(B) = 0.45, and P(A? B) = 0.15.
Fill in the blanks.
1. The probability of A or B occuring is .
2. The probability of A and B occuring is .
3. The probability of just A occuring is .
4. The probability of just A or just Boccuring is .
Suppose 14 carpenters report to the union hall hoping for a chance to work. Three of the 14 do not have their union cards, and 6 carpenters will be selected at random for construction jobs.
Fill in the blank. (Give your answer to four decimal places.)
The probability that all 6 carpenters selected will have their union cards is .
C.
Technology and the Internet. Tablet computers have become very popular and fill a gap between smartphones and PCs. A recent survey indicated that of those people who own tablets, 72% use the device to play games and 44% use the device to access bank accounts. Suppose 30% do both -- play games and access bank accounts -- and suppose a tablet user is selected at random.
Suppose a reported case is selected at random.
Give all of your answers in decimal form.
(a) What is the probability that the tablet user plays games or accesses bank accounts?
P(G?B) =
(b) What is the probability that the tablet user does not play
games nor access bank accounts
P[(G?B)?] =
(c) What is the probability that the tablet user only plays games?
P(Only G) =
(d) What is the probability that the tablet user only accesses bank accounts?
P(Only B) =
?
B.Suppose 14 carpenters report to the union hall hoping for a chance to work. Three of the 14 do not have their union cards, and 6 carpenters will be selected at random for construction jobs.
Fill in the blank. (Give your answer to four decimal places.)
The probability that all 6 carpenters selected will have their union cards is .
C.
The probability of each outcome is given.
Fill in the blanks.
P(B) = (Give your answer to two decimal places.)
P(A? B) = (Give your answer to two decimal places.)
P(B|C) = (Give your answer to four decimal places.)
P(A|B') = (Give your answer to four decimal places.)
P(4|B) = (Give your answer to four decimal places.)
Technology and the Internet. Tablet computers have become very popular and fill a gap between smartphones and PCs. A recent survey indicated that of those people who own tablets, 72% use the device to play games and 44% use the device to access bank accounts. Suppose 30% do both -- play games and access bank accounts -- and suppose a tablet user is selected at random.
Suppose a reported case is selected at random.
Give all of your answers in decimal form.
(a) What is the probability that the tablet user plays games or accesses bank accounts?
P(G?B) =
(b) What is the probability that the tablet user does not play
games nor access bank accounts
P[(G?B)?] =
(c) What is the probability that the tablet user only plays games?
P(Only G) =
(d) What is the probability that the tablet user only accesses bank accounts?
P(Only B) =
?
Explanation / Answer
A.
1.
P(A U B) = P(A) + P(B) - P(A n B)
= 0.55 + 0.45 - 0.15
= 0.85 [answer]
2.
P(A n B) = 0.15 [answer], as given.
3.
P(A only) = P(A) - P(A n B) = 0.55-0.15 = 0.4 [answer]
4.
P(A only or B only) = [P(A) - P(A n B)] + [P(B) - P(A n B)]
= [0.55-0.15] + [0.45-0.15]
= 0.7 [answer]
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