For two events A and B, P(A) = 0.42, P(B) = 0.39, and P(A and B) = 0.27. Find P(A or B). Then explain whether or not these events are mutually exclusive and cite the piece of information given that supports your answer.

Q: Suppose that A, B are two events such that P(A)  = 0.7, P (B) = 0.55 and P  (A / B) = 0.6 Find P (A…

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Q: Suppose A and B are two events with P (A) = 0.36, P(B) = 0.48, and the P(A or B) = 0.60.    d. Are A…

A: Here P (A) =0.36, P(B) =0.48. If A and B are disjoint events, P (A and B) =0.

Q: What does it mean for three events to be mutually exclusive?

A: Mutually exclusive events Three events are said to be mutually exclusive if they have no element in…

Q: Suppose P(E) = 0.3, P(F) = 0.5, and P(E or F) = 0.7. Are the events E and F are mutually exclusive?…

A: It is given that P(E) = 0.3 and P(F) = 0.5.P(E) + P(F) = 0.3+0.5 = 0.8.

Q: Give an example of two events that are independent and dependent. Thank you.

A: For events to be considered dependent, one must have an influence over how probable another is. In…

Q: Suppose that A and B are events such that P(A) = 1/4, P(B) = 1/3, and P(A or B) = 1/2. a. Are events…

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A: Given: Probability of success in first operation is, P(A)=97%=0.97. Probability of success in…

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: If two events A and B are independent and you know that P(A) = 0.70, what is the value of P(A | B)?

A: If the event A and B are independent

Q: what does it mean when two events are disjoint? what does it mean two events are complements?

A: Disjoint events:Two events A and B are said to be disjoint, if the probability of them both…

Q: The probability that a new advertising campaign will increase sales is assessed as being 0.85. The…

A:

Q: When are two events said to be Independent? give a real-life example to explain the answer.

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

Q: Suppose A and B are two independent events. Prove A' and B are independent events. (Note: this is…

A: Given A and B are independent

Q: If A and B are independent events, P(A) = .4, and P(B) = .3, find P ( A ∩ B ) = .

A: Given:- A and B are independent events. PA=0.4PB =0.3 We have to calculate PA∩B=?

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

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

Q: For independent events A and B, P(A)=0.80 and P(B)=0.20, Find P(B | A) (A 0.25 (в) 0.2 0.8 0.3125…

A: Solution: Note: Hello! As you have posted 4 different questions, we are answering the first question…

Q: For the events E and F, we are given the following probability, P(E)=0.50, P(F) =0.60, P(E and F)…

A: Given: PE=0.50 PF=0.60 PE and F=0.30 Two events are said to be independent if the occurrence of one…

Q: you are givin the information that P(A) = 30 and P(B) = 0.40. Do you have enough information to…

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Q: For two independent events, A and B, P(A) = .3 and P(B)= .5. a. Find P(ANB)=| b. Find P(A|B)=|

A:

Q: Consider two events, A and B. Suppose that P(A)=.40,P(B)=.50,  and P(A∩B)=0.2 . Calculate the value…

A:

Q: Is it possible for events A and B to be both mutually exclusive and independent? Justify your…

A: Disjoint Events:  Two events A and B are disjoint or mutually exclusive if and only if both do not…

Q: Classify the events as dependent or independent. Events A and B where P(A) = 0.6, P(B) = 0.8, and…

A:

Q: Can two events A and B be independent of one another and disjoint? Explain what conditions are…

A: Two events are independent, if the occurrence of one does not change the probability of the other…

Q: If two events A and B are independent and you know that P(A) = 0.50, what is the value of P(A | B)?

A: As the events A and B are independent, the probability of occurrence of A is not impacted by the…

Q: For two events A and B, you are given that P(A) = 0.64, P(B)=0.4 and P(A or B)=0.8. What is the…

A: From P(A or B)=0.8 we get: or, P(A)+P(B)-P(A and B)=0.8 or, 0.64+0.4-P(A and B)=0.8 or, P(A and…

Q: If A and B are two mutually exclusive events with P(A') = 0.659 and P(B) = 0.273, what is the value…

A: Solution: Given information: Let A and B are mutually exclusive events. P(A')= 0.659  P( A) = 1-…

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: Are the events A intersect B and the B intersect the same? Why

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: Which of the following is correct about the events A and B?

A:

Q: To the right are the outcomes that are possible when a couple has three children. Assume that boys…

A: Given that boys and girls are equally likely and all the given possible events are equally likely.

Q: Suppose that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17.   Are A and B…

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: Suppose that E and F are two events and that N(E and F)=450 and N(E)=750. What is P(F|E)?

A:

Q: What does it mean for two or more events to be mutually exclusive?

A: Mutually exclusive eventsTwo events are said to be mutually exclusive if they have no element in…

Q: About two events A and B, we know that A occurs with 32% probability and B with 15% probability. It…

A:

Q: oanne estimates that she has a 85% chance of passing Biology and a 95% chance of passing English.…

A: Let B be the event for biology  E be the event for English.  P(B)=0.85, P(E)=0.95  When E and B are…

Q: Determine whether each of the following statements is true or false, and explain why. If two events…

A: Given-  If two events are mutually exclusive, then they are independent. To determine- whether the…

Q: Are events A and B independent? Why or why not?

A: Two events A and B are said to be independent if P(A and B) = P(A).P(B)

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: What does it mean for two events to be mutually exclusive?

A: Solution: We have to determine what does it mean for two events to be mutually exclusive.

Q: Suppose two events A and B are mutually exclusive. Would A' and B' also be mutually exclusive? If…

A: Mutually exclusive events are those whose outcomes do not have anything in common. That is, they do…

Q: Describe in a short paragraph the relationship between independent events and mutually exclusive…

A: Independent events: Two or more events are said to be independent if occurrence of one does not…

Q: Are the events A and B mutually exclusive or not?

A: A={even number}={28} B={multiple of 3}={15, 21, 33}

Q: Given the following information, determine whether events B and C' are independent, mutually…

A: Mutually exclusive events: Two events A and B are said to be mutually exclusive when there are no…

Q: If two events A and B are independent and you know that P(A) = 0.85, what is the value of P(A | B)?

A: If two events A and B are independent then,

Q: Suppose that A and B are two events for which P(A)=0.22, P(B)=0.82, and P(AandB)=0.36 Find P(A|B).

A: We have to find conditional probability. Formula : P(A|B)=P(A and B)P(B)

Q: It has been found that 2 out of every 10 people who visit a local store purchase milk. If we…

A: Given that 2 out of every 10 people who visit a local store purchase milk.  So the probability that…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.