Consider the population of all students at Carleton University. Suppose that 38% of students have a Mastercard, 51% a Visa, and 24% have both types of credit cards. If a randomly selected student has a Mastercard, what is the probability they have a Visa? Select one: a. 0.4706 b. 0.7451 c. 0.6500 d. 0.6316 e. 0.1938

Consider the population of all students at Carleton University. Suppose that 38% of students have a...
Part a) Consider the population of all students at a University. Suppose that 38% of students have a Mastercard, 51% a Visa, and 24% have both types of credit cards. If a randomly selected student has a Mastercard, what is the probability they have a Visa? a) 0.6316 b) 0.6500 c) 0.1938 d) 0.7451 e) 0.4706 Part b) Which of the following is a valid way of interpreting a p-value? a) The p-value is the probability that we would observe...
Of 10,000 students at a university, 2,500 have a MasterCard card (M), 4,000 have a Visa card (V), and 4,000 have neither card. A. Find the probability that a randomly selected student has both cards? B. Find the probability that a randomly selected student has at least one of these two cards? C. Find the probability that a randomly selected student has a MasterCard but not a Visa card? D. What proportion of students who have a MasterCard also have...
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...
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...
randomly selecting a student at a large university. Let A be the event that the selected student has a Visa card, let 8 be the s event for MasterCard, and let C be the event that the selected student has an American Express card. Suppose that Pe n C)-0.1, and P(A n BnC)-0.08 A)-0.6,代8)-04, and (a) What is the probability that the select ed student has at least one of the three types of cards? (b) What is the probability...
Consider randomly selecting a student at a large univer- sity, and let A be the event that the selected student has a 12. 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...
im a little confused on how to work this problem. please help
explain how and why. thank you.
Exercise 12. Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card and B the analogous event for MasterCard. Suppose that P(A) = 0.6 and P(B) = 0.4. a. Could it be the case that P(ANB) = 0.5? Why or why not? b. From now on, suppose that P(ANB)...
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
a) Among University students it is known that 24% of students have a Visa card, 32% have a Master card and 12% of student have both cards. (1) What proportion of students has a Visa or a Master card? (2) What proportion of students have only Visa or only Master card? b) Suppose that A and B are two events with P(A) =.4 and P(A∪B) = .7. (3) For what values of P(B) would A and B be mutually exclusive?...