=*21. 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 explain your reasoning. a. Are A and B mutually exclusive? b. Are A and B independent?

Q: Suppose that E and F are two events and that P(E and F) = 0.3 and P(E)=0.8. What is P(FIE)? P(FIE)=…

A: given data  P(E and F) = 0.3 P(E) = 0.8 P(F|E) = ?

Q: Q. 3 If A and B are two events associated with an experiment and P(A) = P(AUB) = and P(AN B) = Find…

A:

Q: Let A and B be events with P (A) = 0.6, P(B) = 0.2, and P(A and B) = 0.03. (a) Are A and B…

A:

Q: (b). A and B are two events such that 3 P(-4)=P(B) = 1/ and P(AUB) = 2 4 Calculate: (i). P(BA) (ii).…

A:

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

A: Consider two events, A and B. Independent Events: The events A and B are said to be independent, if…

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

A: Two events A and B are said to be independent if,

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: 21 Given p(A) = 0.5 and p(B) = 0.2 and A and B are mutually exclusive events. Are these events…

A: We will answer only one question at a time. Please resubmit the other questions specifying which one…

Q: (b). A and B are two events such that 1 1 3 P(B) == and P(AUB) = - Calculate: P(A) = (i). P(B|A)…

A: Given,P(A)=13P(B)=12P(A∪B)=34

Q: Which statement below proves A and B are independent events? P(A)=0.23, P(B)=0.62, P(A and…

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

Q: The probability that Ryan will study biology today is 0.58. The probability that he will read his…

A:

Q: 25. Determining Whether Events Are Disjoint a. If P(A) = 3/11, P(B) = 4/11 and P(A or B) = 7/11,…

A:

Q: 4a) It is known that P(AB)-0.45, P(B)-0.90 and the events A and B are independent. Find P(A). 0.405…

A: P(A and b ) = 0.45 P(B) = 0.90 P(A) =? Independent events

Q: Let A and B be two independent events with P(A)= 0.4 and ?(?⋃?)=0.64. What is P(B)?

A: given: P (A) =0.4 P (AUB) =0.64

Q: Suppose that A and B are mutually exclusive events with P(B) = 0.224 and ?(?∪?) P(A∪B)= 0.673.…

A: From the provided information, P (B) = 0.224 and P (A U B) = 0.673 The events A and B are mutually…

Q: 3 A and B are two events such that P(B)= P(4UB)= 13 and P(B|A)= 30 i. 3 Find; a. P(A), b. P(B' |…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that E and F are two events and that P(E) = 0.2 and P(FIE)= 0.8. What is P(E and F)? P(E and…

A:

Q: Assume that A and B are events. If ​P(A∪​B)=0.6​, ​P(A)=0.5​, and ​P(B)=0.25​, find ​P(A∩​B).

A: Given information- We have given that A and B are events.  P(A)=0.5, P(B)=0.25​, P(A∪​B)=0.6​ We…

Q: Suppose that E and F are two events and that P(E) = 0.3 and P(F|E) = 0.6. What is P(E and F)? P(E…

A: We have to find p( E and F)

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: a) Are events F and H disjoint? Explain. |

A: Two events A and B are said to be disjoint if P(A and B) = 0

Q: 4. P(A|B) 5. Use P(A|B) = P(A) and P(A and B) - P(A)*P(B) to determine if the two events are…

A: Given:

Q: Question is attached

A: (a)Find the value of p for which A and B are mutually exclusive is obtained below:P(A and B) = 0…

Q: The events A and B are mutually exclusive. If P(A) = 0.1 and P(B) = 0.6, what is P(A or B)? O A. 0.5…

A:

Q: Suppose that E and F are two events and that N(E and F) = 450 and N(E) = 870. What is P(F|E)? O…

A: We will use the conditional probability formula. P(F|E)=N(E and F)N(E)=450870=0.517

Q: Suppose that E and F are two events and that P(E)= 0.8 and P(F|E) = 0.3. What is P(E and F)? .....…

A:

Q: uppose A and B are events such that P(A) = 0.6, P(B) = 0.7 and P(A or B) = 0.8. P(A^c) =________ e)…

A: Use complement rule,

Q: Which of the following events are equal? (a) A = {1, 3}; (b) B = {x | x is a number on a die}; (c) C…

A: Number on die : 1,2,3,4,5,6 Number of Heads when six coins are tossed : 1,2,3,4,5,6

Q: P(B|A) If P(A) = 0.8 P(B) = 0.5 and A and B are independent events, What

A: It is given that, P(A) = 0.8, P(B) = 0.5 and A & B are independents events i.e. P(A∩B) =…

Q: Suppose E and F are two possible events that are independent of one another. Would it be true that…

A: GIVEN DATA : E and F events are independent of one another.     TO SHOW : The complements of E &…

Q: 13. Suppose that E and F are two events and that P(E)= 0.6 and P(F|E) = 0.7. What is P(E and F)? P(E…

A:

Q: Given p(A) = 0.5 and p(B) = 0.2 and A and B are mutually exclusive events. Are these events…

A:

Q: Q. 3 If A and B are two events associated with an experiment and P(A°) =, P(A U B) = and P(A n B) =…

A: Given, P(Ac)=23⇒P(A)=1-P(Ac)=1-23=13P(A U B) =34P(A ∩ B)=14

Q: Suppose, N(S)=40, N(E)=6, N(F)=14, N(E intersection F)=2. a) What is the probability of either or…

A: Obtain the probability that either E or F occurs. The probability that either E or F occurs is…

Q: Given P(A) = 0.2, PP(B c )= 0.4 and P(A|B) = 0.3, a). Can events A and B be mutually exclusive?…

A: Given: P(A) = 0.2, P(B)= 0.4, P(A|B) = 0.3

Q: Consider two events E and F. Explain in a sentence or two what it means for E and F to be…

A: Consider two events E and F, If E and F are said to be independent events, the occurrence of the…

Q: If A and B are two events such that P(A) = 3/8 , P(B) = 5/8 and P (A or B) = 3/4. Find P(A/BC).

A: Given information : A and B are two events such that P(A) = 3/8 , P(B) = 5/8 and P (A or B) = 3/4.

Q: Which of the following equalities does not imply that the events A and B are independent??

A: Here use property of independent event

Q: If A and B are two events such that P(A) = 0.5, P(B) = 0.7 and P(B/A) = 0.3 then P(A/B) = ? а. О.1…

A: Given data,P(A)=0.5P(B)=0.7P(B|A)=0.3P(A|B)=?

Q: The events A and B are mutually exclusive. If ​P(A)=0.6 and ​P(B)=0.2​, what is​ P(A or​ B)?

A:

Q: Suppose Sand Tare mutually exclusive events. Find P(Sor 7). P(S) = 20%, P(T) = 22% 2% 440% 42% 4.4%

A: The value of PS=20% The value of PT=22%

Q: Suppose A and B are two events with P(A)=.35 and P(B) =.6. Find P(A or B) assuming A and B are…

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will…

Q: 2. Let events A and B be mutually exclusive events. Suppose P(A) = .29 and P(B) = .32 (a) What is…

A: GivenP(A)=0.29P(B)=0.32A and B are mutually exclusive events

Q: Suppose that E and Fare two events and that N(E and F)- 370 and N(E) = 760. What is P(F|E)? 0.487…

A:

Q: . What is the probability of getting a red jelly bean first, then a non-red jelly bean if two jelly…

A: Here given  A bag of jelly beans contains ten red, six green, seven yellow, and five orange jelly…

Q: Suppose that A and B are events such that P(A) = 1/3,P(A or B) = 1/2, and P(A&B) = 1/10. a. Are…

A: Given that,P (A) = 1/3P (A or B) = 1/2P (A and b) = 1/10

Q: Let A and B be two events, and P(A) = 1/2, P(B) = 1/5 and P(B|A) = 1/3. Find the value of P(A|B).

A:

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

A: Two events are said to be independent if occurance of one event does not effect the other.

Q: AUB is the event that occurs if ..... .A A occurs and B occurs .B A occurs or B occurs (or both)

A: Given : Let A and B be the two event  A∪B : It is the union of A and B It means that occur event A…

Q: The events A and B are mutually exclusive. If P(A) = 0.5, and P(B) = 0.3, what is P(A or B)? a. 0.15…

A: From the addition law of probability, we have