(a) Find each of the following probabilities. (Round your answers to four decimal places.) P(A) = P(8) = P(A n B) = P(B | A) P(B | A) = (b) Are the events A and 8 independent events? OYes O No

Q: Decide whether or not the two events in question are independent or whether it is not possible to…

A: Independent events: If A and B are independent, then P(A and B)=P(A)×P(B)

Q: If two events A and B are independent and you know that P(A) = 0.60, what is the value of P(A | B)?

A: Solution: From the given information, A and B are two independent events and P (A) =0.60.

Q: Events A and B are mutually exclusive with P(A) equal to 0.331 and P (A or B) equal to 0.727. Find…

A:

Q: Amber rolls a 6-sided die. On her first roll, she gets a "1". She rolls again. (a) What is the…

A: Each throw is independent of the other throws. So, P(1|1) =P(second roll=1 | first roll=1 ) =…

Q: P(A and B) =0.43 P(B)=0.8 Find the conditional probability of  A given B?

A: It is given that, P(B)=0.8 P(A and B) =0.43

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 O…

A:

Q: Two events A and B are having the following probabilities: P(A) = 0.53, P(B) = 0.38, P(A and B) =…

A: Answer: From the given data, P(A) = 0.53 P(B) = 0.38 P(A and B) = 0.25

Q: The probabilities of two events A and B are 0.23 and 0.30 respectively. The probability that both…

A:

Q: A and B are independent events. Use the following probabilities to answer the question. Round to 4…

A: Event:  The collection of outcomes in an experiment is called as an event. Independent Events: Any…

Q: Suppose P(A) = 0.4, P(B) = 0.3, and P(A n B) = 0. Which one of the following statements correctly…

A:

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.5; P(H) =…

A: Given,P(G)=0.5P(H)=0.31P(H AND G)=0.09

Q: Four people are running for class​ president: Liz,​ Fred, Sue, and Tom. The probabilities of​ Fred,…

A: Given The probabilities of​ Fred, Sue, and Tom winning are 0.23​, 0.28​, 0.12

Q: Given two events G and H, the probabilities of each occurring are as follows: P(G) = 0.35; P(H) =…

A: GivenP(G)=0.35P(H)=0.9P(H and G) = 0.1

Q: Events A and B are independent. Find the missing probability. 5; P(A°) =- 11 ΡΑΛ Β ) = 20 9 P(B)=?…

A: GivenP(Ac)=1120P(A∩B)=950Events A and B are independent

Q: Given P(A) = 0.2, P(B) = 0.6 and P(A and B) = 0.08. Explain how you know events A and B cannot be…

A: Given that, A and B are two events.  PA=0.2PB=0.6PA and B =0.08 Mutually Exclusive events : Two…