Let A and B be events with P(A)=0.4 and P(B)= 0.6 and P (A and B) =0.2 . (a) Are A and B independent? Explain. (b) Compute P(A or B) . (c) Are A and B mutually exclusive? Explain.

Q: You are given the information that P(A) = 0.30 and P(B) = 0.40. (a) Do you have enough information…

A:

Q: Olivia is contemplating buying a laser printer. The probability that she will buy a printer…

A: Given data is : Probability that she she will buy a printer manufactured by Epson  PE=0.21…

Q: If P(A) > 0, P(B) > 0, and P(A n B) = 0, then the events A and B are independent. true or false?

A: Solution-: If P(A) >0, P(B)>0 and  P(A∩B)=0, then the events A and B are independent. We find…

Q: A. Are events A and B mutually​ exclusive? Explain your answer. A. ​No; P(A) is not equal to​ P(B).…

A: From the provided information, the known values are: PA=13;PB=14;PA or B=12 Mutually Exclusive…

Q: Use the equations above to find the missing probability. 13. Event A and Event B are independent a)…

A: 13 a) Given data,P(B)=12P(A and B)=740P(A)=? P(A and B)=P(A)*P(B) 740=P(A)*12P(A)=1440P(A)=720

Q: Find the probability of the indicated events if P(E)=0.3 , P(F)=0.4 , and P(F|E)=0.3   (a) P(E∩F)…

A: GivenP(E)=0.3P(F)=0.4P(F|E)=0.3

Q: Prior Probabilities for A1 and A2: P(A1)=0.20, P(A2)=0.40, (A1) and (A2) are mutually exlcusive.…

A: Data given P(A1)=0.20, P(A2)=0.40, (B|A1)=0.20, P(B|A2)=0.05

Q: Sarah has two tests at school next week, a math test and a physics test. Let A represent the event…

A: According to the provided information, P(A)=0.30 and P(A AND B)=0.21,

Q: Determine whether the events E and F are independent or dependent. Justify your answer. ..... E: A…

A: The variables are basically two types, they are independent and dependent variable. Independent…

Q: he events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A and B)?  a 0  b…

A: given data A and B are mutually exclusive eventsP(A) = 0.3P(B) = 0.6P(A and B) = ?

Q: Classify the events as dependent or independent. Events A and B where ​P(A)=0.1​, ​P(B)=0.2​, and​…

A:

Q: A and B are events such that P(A) = 0.4,P(B) = 0.5, and P(A&B) = 0.2. Answer each question and…

A: a.Mutually Exclusive Events:Two events are said to be mutually exclusive if they cannot occur at the…

Q: Classify the events as dependent or independent.

A: Given that, P(A) = 0.8 P(B) = 0.2 P(A and B) = 0.16 Check whether the given events are indep. or…

Q: Two fair six-sided dice are rolled (one maize and one blue), with outcomes X and Y respectively for…

A: Since the outcome of one die doesn't depend upon the outcome of the other die. The value rolled for…

Q: B).  Find P(A ∪ B).  Find P(A | B)

A: It is given that P(A) = 0.2 and P(B) = 0.4. a. The value of P(A ∩ B) is, PA∩B=PA·PB=0.2×0.4=0.08. b.…

Q: Stephen plays basketball. He makes free throw shots 53% of the time. Stephen must now attempt two…

A: given data  P9make free throw shot) = p = 0.53 two free throws at random  P(stephen makes second…

Q: (iii)It P(AB) = 0, then the two events A and B are said to be (a) dependent (b) independent (c)…

A: ⇒ P(A∩B) can be written as P(AB).

Q: Determine if events A and B are independent. P(A) = 0.45 P(B) = 0.5 P(A|B) = 0.36 P(A) = 0.55 P(B) =…

A:

Q: A and B are independent events. P(A) = 0.50 and P(B) = 0.30. What is P(A and B)? O A. 0.015 B. 0.15…

A: Given

Q: C and D are events with P(C) = 0.4 and P(D) = 0.5 and P(C|D) = 0.6.For each part, show how you…

A: From the provided information, P (C) = 0.4 and P (D) = 0.5 And P (C|D) = 0.6

Q: The events A and B are mutually exclusive. If P(A) = 0.3 and P(B) = 0.6, what is P(A or B)? O A. 0.9…

A: Given Data: P(A)=0.3 P(B)=0.6   A and B are mutually exclusive events

Q: Classify the events as dependent or independent. Events A and B where P(A) = 0.8, P(B) = 0.8, and…

A: given data  P(A) = 0.8 P(B) = 0.8 P(A∩B) = 0.63 are the events independent or dependent?

Q: Classify the events as dependent or independent. Events A and B where P(A)= 0.6, P(B)=D0.7, and P(A…

A: P(A) = 0.6, P(B) = 0.7, P(A and B) = 0.41   for event to be independent, P(A and B) = P(A).P(B) for…

Q: Recall that U is equivalent to "or" and "union", and that n is equivalent to "and" and…

A: 1) GivenP(A)=0.4P(B)=0.3P(A∪B)=0.7