a)
at least one =P(AUBUC)= | P(A)+P(B)+P(C )-P(AnB)-P(BnC)-P(AnC)+P(AnBnC) | = | 0.76 |
b)
P(A n B n C')=P(A n B)-P(A n B n C)=0.3-0.08 =0.22
c)
P(B|A)=P(A n B)/P(B)=0.3/0.6 =0.5
P(A|B)=P(A n B)/P(B)=0.3/0.4 =0.75
P(A|B) is the probability that given that a student has a Master card ; they also has a Visa card
P(B|A) is the probability that given that a student has a Visa card ; they also has a master card
d)
P(A n B|C)=P(A n B nC)/P(C)=0.08/0.2 =0.4
e)
P(A u B|C) =P((A u B ) n C))/P(C)=(0.1+0.12-0.08)/0.2=0.7
randomly selecting a student at a large university. Let A be the event that the selected...
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Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for MasterCard. Suppose that P(A) 0.5, P(B) 0.4, and P(An B) 0.25. Calculate and interpret each of the following probabilities. b. P BIA) f. Is having a Visa credit card and a MasterCard independent? Justify your answer
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Consider randomly selecting a student at a certain university, and let A denote the event that the selected individual has a Visa credit card and B be the analogous event for a MasterCard. Suppose that P(A) = 0.3, P(B) = 0.4, and P(A ∩ B) = 0.05.(a) Compute the probability that the selected individual has at least one of the two types of cards (i.e., the probability of the event A ∪B).(b) What is the probability that the selected individual has neither type of card?(c) Describe, in terms of A and B, the event that the selected...
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