B. 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(A n B) = 0.5? Why or why not? b. From now on, suppose that P(A n B) = 0.3. What is the probability that the selected student has at least one of these two types of cards? c. Describe, in terms 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. d. Calculate the probability that the selected student has exactly one of the two types of cards.

Q: If A denotes some event, what does A denote? If P(A) = 0.992, what is the value of P(A)? What does A…

A: Solution: Let A be the some event.  P( A)= 0.992

Q: If A denotes some event, what does A denote? If P(A) = 0.004, what is the value of P(A)? What does A…

A: Given,  P(A) = 0.004

Q: 2. Let A and B be events with P(A) = 0.5 and P(AnB") = 0.4. For what value of P(B) will A and B be…

A:

Q: If A denotes some event, what does A denote? If P(A) = 0.004, what is the value of P(A)? .... What…

A:

Q: Let A, B be events with P(A) = .60,  P(B) = .20, and P(A and B) = .10.  Find P(A|B)

A:

Q: Defective components: A lot of 9 components contains 4 that are defective. Two components are drawn…

A:

Q: If A denotes some event, what does A denote? If P(A) = 0.993, what is the value of P(A)? .... What…

A: Answer - Given P(A) = 0.993.       Find P(A)  = ?

Q: Suppose that A and B are independent events with: P(A)= 0.4 P(B)= 0.7 Calculate: P( A U B)

A: The union probability for any two events A and B is defined as P(A ∪ B) = P(A)  + P(B) – P(A ∩ B).

Q: For not mutually exclusive events A and B, P(A) = 0.59, P(B)=0.46 and P(A B)=0.28. Find the P(AUB).

A: Given:        The A and B are not mutually exclusive P(A) = 0.59 P(B) = 0.46 P(A ∩ B) = 0.28

Q: Given P(A) = 0.052, P(B) = 0.045, and P(C) = 0.149, and that events A, B, and C are mutually…

A:

Q: s some event, if P(A) = 0.91 , what is the value of P(A)?

A: Given P(A) = 0.91

Q: Given that A and B are mutually exclusive event, find P(A or B) for the following. P(A) =0.41 and…

A:

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: (a) If A and B are mutually exclusive events, compute P(A or B). To determine  P(A or B) means that…

A:

Q: 2. If P(A) = 1/2 ,P(B) = 3/4 and P(ANB) = 3/8 ,check whether A and B are independent. %3! %3D

A: Note: Please repost remaining questions as i can author only 1 question as per my policy.   2) Given…

Q: 3.if A and B are two events such that P(AUB) = P(ANB) = and P(A) = 3, then P (B) is equal to a. 1/3…

A: The question is about probability.Given probabilities are as follows :

Q: Suppose that C and D are events such that P(C) = 4/5 and P(C&D) = 3/10. Find P(D| C).

A: The formula for conditional probability is,

Q: Assume the following informaon. The height of adult women in the city of Boston can be characterized…

A: 1. Let X denote the height of a randomly selected woman from City B. It is given than X has a normal…

Q: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

A:

Q: If A denotes some event, what does A denote? If P(A) = 0.008, what is the value of P(A)? What does A…

A: Given data: If A denotes some event, what does A' denote? If P(A) = 0.008, To find: what is the…

Q: Given that A and B are two mutually exclusive events, find  P(A or B) for the following. P(A) =…

A:

Q: ven P(A) = and P(B) = ³ Find P(A or B), if A and B are mutually clusive events.

A:

Q: 16. Let A, B be independent events with P (A) = P (B) = 1/3. Find the probability that neither…

A: Introduction: Independence: Suppose A and B are two events with respective probabilities P (A) and P…

Q: Suppose that A,B, & C are three independent events such that Pr(A)=1/4, Pr(B)=1/3, and Pr(C)=1/2. A.…

A:

Q: Suppose that 1 out of 5 cars needs an oil change. Suppose we are to randomly select 8 cars. Let X be…

A:

Q: If A and B are mutually exclusive events with P(A) = 0.75, then P(B): a. can be any value…

A: Given P(A)=0.75

Q: Let A, B be events, with P(A) =.2, P(B) = .4, and P(A|B) = .25. Find P(A and B)

A: Given data, P(A) =.2 P(B) = .4  P(A|B) = .25 P(A and B)=?

Q: Let A and B be events such that P (A) = 1/5 P (A & B) = 1/10 and P (A or B) = 1/2 Determine P (B)

A: P(A)=15P(A and B) = 110P(A or B) = 12

Q: Suppose that A and B are two independent events for which P(A)=0.32 and P(B)=0.7. Find each of the…

A:

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: Refer to the tree diagram in Figure 5.7. Suppose  you want to find the probability P(B|A) using the…

A: As per our Q & A guideline, we can answer only three  sub questions.

Q: Suppose that A and B are two independent events for which P(A)=0.34 and P(B)=0.57. Find each of the…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: If A denotes some event, what does A denote? If P(A) = 0.002, what is the value of P(A)? What does A…

A: In set theory, an event is a set of outcomes of an experiment or a subset of the sample space to…