Suppose A and B are events in a sample space with P(A)=0.7, P(B)=0.48, P(B∪A)=0.88 answer the following in the picture

Q: Suppose A and B are events with P(A) = 0.3, P(B) = 0.85, and P(B|A) = 0.6. Find the value of P(A or…

A: given data  P(A) = 0.3 P(B) = 0.85 P(B|A) = 0.6 P(A or B) = ?

Q: Suppose A and B are events of a sample space. Assume that P (A) = .45 P(B) = .30 P(A∪B) = .55…

A: Suppose A and B are events of a sample space. Assume that P (A) = .45 P(B) = .30 P(A∪B) = .55…

Q: For a family with 2 children, the sample space indicating boy (B) or girl (G) is BB, BG, GB, and GG.…

A:

Q: If A and B are events with P(A)=0.4, P(A OR B)=0.96, and P(A AND B)=0.14, find P(B). Enter your…

A: P(A)=0.4P(A or B)=0.96P(A and B)=0.14

Q: C and D are two events with P(C)=0.4,P(D)=0.5, and P(C|D)=0.4. Calculate P(D|C). Give your answer…

A: Given, C and D are two events with P(C)=0.4, P(D)=0.5, and  To find:

Q: Given P(A) = 0.052, P(B) = 0.045, and P(C) = 0.149, and that events A, B, and C are mutually…

A:

Q: If A and B are events with P(A)=0.6, P(A OR B)=0.98, P(A AND B)=0.02, find P(B).

A:

Q: TRUE or FALSE  For events A and B in a sample space, P(A|B) + P(A|Bc) = P(B).

A: Introduction: Suppose A and B are two events of interest in a sample space, with respective…

Q: Consider two events with P(A)=.4, P(B|A)=.5 and P(A or B)=.7 a) find P(A and B)= b) find P(B)= c)…

A: The provided information are:…

Q: Consider two independent events A and B.Suppose it is known that P(A)=0.27 and P(A or B)=0.5474.…

A:

Q: Given P(A) = 0.150, P(B) = 0.172, and P(C) = 0.185, and that events A, B, and C are mutually…

A: here given, P(A)=0.150, P(B)=0.172 P(C)=0.185   A,B and C are mutually exclusive event. so, P(A and…

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

A:

Q: Suppose P(A) = 0.28 and P(B) = 0.48 and A and B are independent. Events A and B are not disjoint.…

A: Answer is mentioned below

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: You are given two events C and B. You want to determine if the events are mutually exclusive…

A: Determine whether the events C and B are mutually exclusive or not.   The correct option is…

Q: Given P(A) = 0.10, P(B) = 0.36, P(C) = 0.27 and that events A, B, and C are independent, what is…

A: Independent Events:   Any three events A , B and C are said to independent if the occurrence of the…

Q: Suppose we have two events A and B in the sample space S. If P (B) = P (S).– P(A), then B = A %3D O…

A: Please find the solution

Q: if a and b are independent events with P9A)=0.4 and P(B)=0.5, then P(A or B)=?

A: If a and b are independent events, thenPA and B=PA∩B=PA.PB=0.4×0.5=0.2

Q: Given P(A and B) = 0.17, P(A) = 0.21, and P(B) = 0.81 are events A and B independent or dependent?…

A: Two events A and B are called independent if  P(A and B)= P(A)*P(B)

Q: Given P(A) = 0.32, P(B) = 0.44, and the fact that events A and B are independent, What is P(A and…

A: Solution: From the given information, P (A) = 0.32, P (B) = 0.44.

Q: For a family with 2 children, the sample space indicating boy (B) or girl (G) is BB, BG, GB, and GG.…

A: If the first child is a boy then there can be 2 outcomes. BB and BG Among those 2 cases only BB has…

Q: Suppose that A and B are two events for which P(A) = 0.29, P(B) = 0.74, and P(B|A) = 0.42 Find each…

A:

Q: uppose that A and B are tow events for which P(A)=.32, P(B)=.6, and P(A and B)=.41. Find P(A|B)

A: P(A) = 0.32P(B) = 0.6P(A∩B) = 0.41P(A|B) = ?

Q: Suppose X and Y are events in a sample space such that P(X|Y) = 1 3 and P(Y) = What is P(XY)?

A: X and Y are the events in a sample space such that, P(X|Y)=1/3 P(Y)=1/5 To find: P(X and Y)

Q: Let A and B be two independent events with P(A) > P(B), P(AUB) = .626, and P(An B) = .144, determine…

A:

Q: 0.13, find P(B). If A and B are events with P(A) = 0.7, P(A OR B) =0.77, and P(A AND B) %3D %3D

A: Given information: Two events A and B. The probability of occurrence of event A, P(A)=0.7. The…

Q: Given P(A) = 0.78, P(B) = 0.45 P(C) = 0.13 and that events A, B, and Care independent, what is P(A,B…

A: Given P(A) = 0.78, P(B) = 0.45 P(C) = 0.13

Q: Q1. A sample space consists of five simple events with Consider the events defined as follows Find…

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: Given P(A) = 0.076, P(B) = 0.184, and P(C) = 0.159, and that events A, B, and C are mutually…

A: Solution: Mutually exclusive events: Two events A, B and C are said to be mutually exclusive when…

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.