![Visa card and B be the analogous event for MasterCard. Suppose that PCA) = .6 and P(B) = .4. a. Could it be the case that PA N B) 5? Why or why not? lHint: See Exercise 24.] From now on, suppose that P(A n B)-.3, what is the probability that the selected student has at least one of these two types of cards? b. c. What is the probability that the selected student has neither type of card? d. Describe, in terms of A and B, the event that the selected student has a Visa card but not a MasterCard, and then calculate the probability of this event. Calculate the probability that the selocted student has exactly one of the two types of cards e.](http://img.homeworklib.com/questions/28867690-78c4-11ea-a2b3-dd52d04a3b0b.png?x-oss-process=image/resize,w_560)
Homework Answers
a)
No
P(A and B) can never be more tha min(P(A) ,P(B))
b)
P(A or B) = P(A) + P(B) - P(A and B)
= 0.6+0.4-0.3
=0.7
C)
1 - P(A or B) = 0.3
d)
P(A) - P(A and B)
= 0.6 - 0.3 = 0.3
e)
P(A) + P(B) - 2 P(A and B)
= 0.6 + 0.4 - 2 * 0.3
= 0.4
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Consider randomly selecting a student at a large univer- sity, and let A be the event...
Consider randomly selecting a student at a certain university, and let ? denote the event that...
Consider randomly selecting a student at a certain
university, and let ? denote the event that the selected individual
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Suppose that ?(?) = 0.5, ?(?) = 0.4, and ?(? ∪ ?) = 0.65.
a. What is the probability that the student has both types of
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b. What is the probability that the student has a MasterCard but
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Problem 4. (8 points) Consider randomly selecting a student on campus, and let A be the...
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Consider randomly selecting a student at a certain university, and let A denote the event that...
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 U of T, and let denote the event that the...
Consider randomly selecting a student at U of T, and let
denote the event that the selected student has a Visa credit card
and
be the analogous event for a Master Card. Suppose that
,
and
.
c) What is the probability of the event that the selected
student has a Visa Card but does not have a Master Card?
We were unable to transcribe this imageWe were unable to transcribe this imageP(A) 0.5 P(B) = 0.4 P(A n B)...
Consider randomly selecting a student at a certain
university, and let ? denote the event that the selected individual
has a Visa credit card and ? the analogous event for a MasterCard.
Suppose that ?(?) = 0.5, ?(?) = 0.4, and ?(? ∪ ?) = 0.65.
a. What is the probability that the student has both types of
cards?
b. What is the probability that the student has a MasterCard but
not a Visa?
c. What is the probability the...
Consider randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let B be the analogous event for MasterCard, and let C be the event that the selected student has an American Express card. Suppose that P(A) = 0.6, P(B) = 0.4, and P(ANB) = 0.3, suppose that PC) = 0.2, P(ANC) = 0.13, PB N C) = 0.1, and P(ANBNC) = 0.07. (a) What is the probability that...
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,
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c) What is the probability of the event that the selected
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