Suppose that events A and B are disjoint (mutually exclusive). Further, suppose P(A)=0.5P(A)=0.5 and P(B)=0.5P(B)=0.5. Then P(A∩BP(A∩B) equals   Select one: a. 0.75 b. 1 c. 0 d. 0.25

Q: A and B are events with P(A)=0.3, P(A OR B)=0.89, and P(A AND B)=0.01, find P(B).

A: Given that ; If A and B are events with P(A)=0.3, P(A OR B)=0.89, P(A AND B)=0.01, find P(B) By…

Q: Given that P(A) = 0.42, P(B) = 0.04, and P(A and B) = 0.0168, are events A and B independent?

A: It is given that P(A)=0.42, P(B)=0.04, and P(A and B)=0.0168.

Q: Suppose A and B are mutually exclusive events, and that P(A)=0.13 and P(B)=0.85. Find P(A OR B)

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Q: If A and B are mutually exclusive events with P (A) = 0.30 and P (B) = 0.40, then P (A or B) is:

A: GivenP(A)=0.30P(B)=0.40A and B are mutually exclusive

Q: If A and B are two mutually exclusive events with P(a) > O and P(b) > 0 then it implies they are…

A: Hello, thanks for your question but according to our policy I am answering the very first question.…

Q: Suppose that the events A, B, and C are independents, where P(A)= 1/2, P(B)=1/3, and P(C)= 1/4. What…

A: Given that A, B, and C are independents. So,…

Q: For two events E and F, P(E) = 0.30, P(F) = 0.40, and P(E U F) = 0.70. Are E and F mutually…

A: Introduction: The occurrences that cannot occur or cannot occur at the same time are said to be…

Q: Suppose the events B1 and B2 are mutually exclusive and complementary events, such that P(B1) = 0.75…

A: According to the given information, we have B1 and B2 are two mutually exclusive and complementary…

Q: If A and B are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

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Q: Let A and B be events with =P(A)= 0.2, P(B)=, 0.88, and P(B|A)=0.6.…

A:

Q: Suppose we have three events A, B, and C. If P(A) > 0, P(B) > 0 and P(C) < 1, and we know that if…

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

A: The formula for conditional probability is,

Q: If the outcome of event A is not affected by event B, then events A and B are said to be* 2.

A: Answer: If the outcome of event A is not affected by event B, then events A and B are said to be…

Q: . If two events A and B are mutually exclusive, what does the special rule of addition state? A) P(A…

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

Q: 12. Suppose that A and B are two independent events with P(A) = 0.3 and P(B) = 0.3. What is P(A and…

A: As per our guidelines we are suppose to answer three sub parts. Given,P(A)=0.3P(B)=0.3A and B are…

Q: Suppose events A and B are NOT disjoint, and that P(A) = 0.3 and P(B) = 0.15. What is P(A or B)? 2.…

A: Disjoint events:   Let A and B be any two events, if the events A and B are mutually exclusive or…

Q: Given that P(A) = 0.47, P(B) = 0.07, and P(A and B) = 0.0329, are events A and B independent? O Yes,…

A: No. They are not independent.

Q: Given P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085, and that events A, B, and C are mutually…

A: P(A) = 0.092, P(B) = 0.011, and P(C) = 0.085 Events A, B, and C are mutually exclusive

Q: Let A and B be two events such that P(A) = 0.6 and P(B) = 0.4. 1) Is P(C) = P(C given A) x P(A) +…

A: 1) Consider, P(C|A)P(A)+P(C|B)P(B)=P(C and A)P(A)P(A)+P(C and B)P(B)P(B)…

Q: If A and B are any two events with P(A) = 0.9 and P(B|A) = 0.5, then the probability of A and B is?

A:

Q: For two events ,A and B,P(A)=0.4, P(B)=0.2 and ,p(A|B)=0.6 Find a)p(A ∩B) b)p(B|A) c)p(B,|A)

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Q: In parts (a) and (b), identify whether the events are Mutually Exclusive, Independent, or Neithe…

A: (a) If the probability of occurrence of one event is not affected by the probability of occurrence…

Q: Suppose that A and B are events such that P(A) = 1/3, P(B) = 1/2 and P(A ∪ B) = 5/6. Find (a) P(A ∩…

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Q: Suppose that A and B are events for which P(A) =0.2, P(B)=0.5, and P(A ∩ B)=0.13 P(B|A)=?

A:

Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

A: For the given probabilities, the Venn diagram is,

Q: If A and B are two independent events with P(A) = 0.15 and P(B) = 0.4, then P(AUB) is

A:

Q: Let A and B be events such that P(A) = 0.6, P(B) = 0.5and P(A∪ B) = 0.8.Find P(A B)). Are A and B…

A: We have given that events  P(A) =0.6 P(B) =0.5 P(A∪ B) = 0.8 Note: According to Bartleby expert…

Q: If two events, Event A with probability P(A) and Event B with probability P(B) are independent, then…

A: Given that two events, Event A with probability P(A) and Event B with probability P(B) are…

Q: Suppose A and B are independent events with P(A) = .6 and P(B) .8. Find (a) P(AU B), (b) P(AU B“),…

A: Given,P(A)=0.6P(B)=0.8and A, B are independent events

Q: If A and B are independent events associated with an experiment P(A) = 0.3, P(AUB) = 0.72, then the…

A: A and B are independent events P(A)=0.3 P(AUB)=0.72 To find: P(B)=??

Q: CONSIDER two events A and B PROVE that if Bc A then P(B) < P(A)

A: We have to answer question based on set

Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

A: P(B)×P(C)=0.5×0.3=0.15=P(B∩C) Since we get P(B∩C)=P(B)×P(C), so B and C are independent.

Q: 2. If A and B are mutually exclusive events and P(A) = 0.3 and P(B) = 0.5, find a.) P(A U B) b.) P…

A: Given  A and B are mutually exclusive events and P(A)=0.3 and P(B)=0.5, Find a).P(AUB)b).P(A)'…

Q: If A and B are independent events associated with an experiment P(A)=0.4, P(AUB)=0.7, then the…

A:

Q: A The events are independent because it does not matter in which order the two drawings occur. B The…

A:

Q: Suppose A and B are two events such that, P(A)=0.4, P(B)=0.3 and P(A and B)=0.1a.Find 푃퐴!b.Find…

A: We have the formula

Q: Suppose that C and D are events such that P(C) = 0.35,P(D) = 0.40, and P(C&amp;D) = 0.30. Determine…

A:

Q: Suppose A and B are events such that P(A) = 0.6 P(B)= 0.7 and P(A or B) = 0.8 What’s P(A) with a…

A: Given, Suppose A and B are events such that P(A) = 0.6 P(B)= 0.7 and P(A or B) = 0.8. That is,…

Q: Suppose that C and D are events such that P(C) = 0.5 and P(C&amp;D) = 0.2. Determine P(D| C).

A: Conditional probability is the probability that one event will occur given that another has already…

Q: Suppose A, B, and C are events so that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

A: Suppose A, B, and C are events, So that P ( A ) = 0.2 , P ( B ) = 0.5 , P ( C ) = 0.3 , P ( A ∩ B )…

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.65, and P(B|A) = 0.6. Find the value of P(A or…

A:

Q: Suppose that events A and B are independent; A and C are independent ; B and C are also independent.…

A:

Q: Suppose that A and B are independent events with P(A) = .40 and P(B) = .70, then P (B'/A') is

A: Given information- P(A) = .40 P(B) = .70 We have to find P (B'/A'). We know that- P(A’) = 1 - P(A)…

Q: Suppose A and B are mutually exclusive events, and that P(B)=0.44 and P(A OR B)=0.81. Find P(A).

A:

Q: Let A and B be events with P(A) = 0.7, P(B) = 0.3, and P(B|A) = 0.2. Find P(A and B).

A: If A and B are independent then P(A and B)= P(A n B) = P(A)*P(B) If A and B are not independent then…

Q: Suppose that in a given town, 60% of the population is under age 40 (event A). It is found that the…

A: The independent events are when two events doesn't effect each other. This means that the…

Q: Consider the problem of selecting two applicants for a job out of a group of five and imagine that…

A: Probability: A probability helps us in finding assumed chances of an outcome in a range between 0…

Addition Rule of Probability

It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.

Expected Value

When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).

Probability Distributions

Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.

Basic Probability

The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.