![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
Add Answer to:
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
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...
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 large university, and let A be the event that...
Consider randomly selecting a student at a large university, and let A be the event that the selected student has a Visa card and 8 be the analogous event for MasterCard. Suppose that P(A)-0.6 and P(B)-0.4 (a) Could it be the case that PLA n B)-0.5 ? why or why not? [Hint: For any two sets A and B d'A is a subset of B then AAS pu).] No, this is not possible. Since A ก B is contained in...
randomly selecting a student at a large university. Let A be 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...
Problem 4. (8 points) Consider randomly selecting a student on campus, and let A be the...
Problem 4. (8 points) Consider randomly selecting a student on campus, and let A be the event that the selected student has a VISA card and B be the analogous event for MasterCard. Suppose that P(A)6, P(B)- 4, and P(A n B) 3 (1) (4 points) What is the probability that the selected student has neither type of card? (2) (4 points) What is the probability that the selected student has exactly one of the two types of cards?
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.
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...
Problem 4. (8 points) Consider randomly selecting a student on campus, and let A be the...
Problem 4. (8 points) Consider randomly selecting a student on campus, and let A be the event that the selected student has a VISA card and B be the analogous event for MasterCard. Suppose that P(A).6, P(B)- .4, and P(A nB) 3. (1) (4 points) What is the probability that the selected student has neither type of card? cards?
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
5. Consider randomly selecting a student at a certain university, and let A denote the event...
5. 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) = 0.5, P(B) = 0.4, P(A∩B) = 0.25. Calculate and interpret the following probabilities (a Venn diagram may help). (a)P(B|A) (b)P(B' |A) (c)P(A|B) (d)P(A' |B) (e) Given that the selected individual has at least one card, what is the probability that he or...
Consider randomly Suppose that PA)-0.6 and P(B)0.4 a student at a large y, and let A...
Consider randomly Suppose that PA)-0.6 and P(B)0.4 a student at a large y, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. (a) Could it be the case that P(A nB)-0.57 Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) s P(8).] e No, this is not possible. Since A n B is contained in...
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 large university, and let A be the event that the selected student has a Visa card and 8 be the analogous event for MasterCard. Suppose that P(A)-0.6 and P(B)-0.4 (a) Could it be the case that PLA n B)-0.5 ? why or why not? [Hint: For any two sets A and B d'A is a subset of B then AAS pu).] No, this is not possible. Since A ก B is contained in...
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...
Problem 4. (8 points) Consider randomly selecting a student on campus, and let A be the event that the selected student has a VISA card and B be the analogous event for MasterCard. Suppose that P(A)6, P(B)- 4, and P(A n B) 3 (1) (4 points) What is the probability that the selected student has neither type of card? (2) (4 points) What is the probability that the selected student has exactly one of the two types of cards?
Problem 4. (8 points) Consider randomly selecting a student on campus, and let A be the event that the selected student has a VISA card and B be the analogous event for MasterCard. Suppose that P(A).6, P(B)- .4, and P(A nB) 3. (1) (4 points) What is the probability that the selected student has neither type of card? cards?
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
Consider randomly Suppose that PA)-0.6 and P(B)0.4 a student at a large y, and let A be the event that the selected student has a Visa card and B be the analogous event for MasterCard. (a) Could it be the case that P(A nB)-0.57 Why or why not? [Hint: For any two sets A and B if A is a subset of B then P(A) s P(8).] e No, this is not possible. Since A n B is contained in...
Most questions answered within 3 hours.
-
Where is the error in this code sequence?
String s1 = "Hello";
String s2 = "ello";...
asked 10 months ago -
Financial data for Joel de Paris, Inc., for last year
follow:
Joel de Paris, Inc.
Balance...
asked 10 months ago -
Consider this reaction:
Al2(SO4)3 (aq)+ BaCl3
(aq) Al2Cl6 (aq)- +
3BaSO4(s) . What is the...
asked 10 months ago -
Suppose that Savneet is considering increasing her
recent random sample from 20 car rentals to 40...
asked 10 months ago -
Trucks arrive at an unloading terminal at an average rate of 120
per hour.
Trucks arrive...
asked 10 months ago -
Why are methanol and ethanol completely soluble in water while
octanol is not very little soluble....
asked 10 months ago -
A facilities manager at a university reads in a research report
that the mean amount of...
asked 10 months ago -
When the CuSO4 is rehydrated by adding water to the anhydrous
compound, is this an endothermic...
asked 10 months ago -
A ray of sunlight is passing from diamond into crown glass; the
angle of incidence is...
asked 10 months ago -
A block of mass 0.249 kg is placed on top of a light, vertical
spring of...
asked 10 months ago -
how do the kidneys compensate in the presences of acidosis
a) trigger hyperventilate
b) reserve acid...
asked 10 months ago -
Question 501 pts
The rental rate of capital to the firm increases. Which of the
following...
asked 10 months ago