1. Experience shows that 27% of all complaints about telephone lines involve static on the line. 45% involve line deterioration. 36% involve only line deterioration. What is the probability that a randomly selected complaint will involve at least one of these kinds of problems? Neither problem? 4-5 2. Given that P(ANB) = 0.8 and P[A] = 0.6 and P[B] = 0.4, determine whether events A and B are independent. %3D %3D 3. Given that P(ANB) = 0.6 and P[A|B] = 0.8, determine P[B] = ? %3D %3D 4. Forty percent of a credit card company's customers are men and 60% of male customers have credit issues. If 55% of female customers have credit issues, what is the probability that a randomly selected customer has credit iolissues? 20 remae %3D 60. 100" T00 12x33 FOMales wih crelit 20 "20 12 x-0 57 100 T0O One indicator of copper is a small mint. Suppose that there is a 35% chance that the soil has a high copper content and a 25% chance that the mint will be present there. If the copper content is high, there is a 65% chance that the mint will be present. What is the probability that the copper content will be high and the mint will be present? Given that the mint is present, what is the probability that the copper content is high? 5. 35 10

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1. Experience shows that 27% of all complaints about telephone lines involve static on the line. 45% involve line
deterioration. 36% involve only line deterioration. What is the probability that a randomly selected complaint will
involve at least one of these kinds of problems? Neither problem? 4-5
2.
Given that P(ANB) = 0.8 and P[A] = 0.6 and P[B] = 0.4, determine whether events A and B are independent.
%3D
%3D
3.
Given that P(ANB) = 0.6 and P[A|B] = 0.8, determine P[B] = ?
%3D
%3D
4. Forty percent of a credit card company's customers are men and 60% of male customers have credit issues. If
55% of female customers have credit issues, what is the probability that a randomly selected customer has credit
iolissues?
20
remae
%3D
60.
100" T00
12x33 FOMales wih crelit
20 "20
12 x-0
57
100
T0O
One indicator of copper is a small mint. Suppose that there is a 35% chance that the soil has a high copper content
and a 25% chance that the mint will be present there. If the copper content is high, there is a 65% chance that the
mint will be present. What is the probability that the copper content will be high and the mint will be present?
Given that the mint is present, what is the probability that the copper content is high?
5.
35
10
Transcribed Image Text:1. Experience shows that 27% of all complaints about telephone lines involve static on the line. 45% involve line deterioration. 36% involve only line deterioration. What is the probability that a randomly selected complaint will involve at least one of these kinds of problems? Neither problem? 4-5 2. Given that P(ANB) = 0.8 and P[A] = 0.6 and P[B] = 0.4, determine whether events A and B are independent. %3D %3D 3. Given that P(ANB) = 0.6 and P[A|B] = 0.8, determine P[B] = ? %3D %3D 4. Forty percent of a credit card company's customers are men and 60% of male customers have credit issues. If 55% of female customers have credit issues, what is the probability that a randomly selected customer has credit iolissues? 20 remae %3D 60. 100" T00 12x33 FOMales wih crelit 20 "20 12 x-0 57 100 T0O One indicator of copper is a small mint. Suppose that there is a 35% chance that the soil has a high copper content and a 25% chance that the mint will be present there. If the copper content is high, there is a 65% chance that the mint will be present. What is the probability that the copper content will be high and the mint will be present? Given that the mint is present, what is the probability that the copper content is high? 5. 35 10
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