Suppose we have a sample space S and three events A, B, and C such that S = AUBUC and ANB= A and an event E, Suppose we have the following results: . Р(4) — 1/4 • P(C) = 1/2 . P(피A)-1 • P(퍼B)-0 P(EC) = 1/2

Q: Suppose that E and F are two events and that N(E and F) = 470 and N(E) = 570. What is P(F|E)? .....…

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Q: A binomial experiment is one that has these five characteristics: 1. The experiment consists of n…

A: Using the provided characteristics, the random variable is to be validated, whether it satisfies a…

Q: . (a) If for two events, A and B 1 1 and P(A/B) Then find P(B- A). 4. P(B) %3D -

A: Hello! As you have posted 4 different questions, we are answering the first question. In case you…

Q: (ii) The desks in a certain classroom are produced by three different carpenters A, B and C. A…

A: 8) ii) Given: P(A)=0.3 P(B)=0.45 P(C)=1-0.3-0.45 =0.25 P(D|A)=0.03 P(D|B)=0.06 P(D|C)=0.04 a) 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(AB). Select…

A: If A and B are two events such that PA=38,PB=58  and PA or B=34. We have to find PA/BC. Formula for…

Q: Let A and B be two events on the same sample space. The probability that the event A occurs equals…

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Q: Defective components: A lot of 9 components contains 4 that are defective. Two components are drawn…

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Q: You randomly select two poker chips from a bag containing 7 poker chips: 3 red, 2 green, 1 blue and…

A: 3 red  2 green 1 blue 1 white _____________ 7 total chips   event A : green chip selected event B:…

Q: 2.4 Let A and B be two events of the same sample space. If P(A|B) P(A) then the events A and B are…

A: Solution- Given that A and B are two events  P(A|B)=P(A)then the event A and B are always…

Q: Suppose that in a casino game the payout is a random variable X. If X is positive, you gain money,…

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Q: Suppose that ?(?)= 0.7 and ?(?)= 0.2. If both events are disjoint, then what is ?(? ?? ?)?  (a) 0…

A: Solution

Q: If P(A) = 0.1, P(B) = 0.6 where A,B are 2 disjoint events find P(AN B) Select one: a. 0.18 b. 0.12…

A: Solution

Q: Every customer in a restaurant is served water. I represents a randomly selected customer that…

A: Given events; I: a randomly selected customer that has water with ice. L: a randomly selected…

Q: (6) If A and B are two events of a sample space N such that ACB then P(B|A) = (a) 를 (b)를 (e) 를 (c)…

A: The formula to find P(B|A) is:

Q: (iii) Given that the events A and B are such that : 3 P(A) = P(AUB)= and P (B) = p. 2' Find the…

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Q: Two events A and B are such that P(A) = 0.19, P(AN B)= 0.15, P(A or B ) = 0.99. Find P(A N BC).…

A: The given events and their probabilities are as follows: P(A)=0.1 PA∩B=0.15 PA∪B=0.99 Need to find…

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).

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Q: For two independent events A and B, if P(A n B) = 0.049 and P(A) = 10P(B), then P(A) is equal to:

A: Step 1:Given that :P(A∩B)=0.049P(A)=10P(B)Find the P(A).Step 2:A and B are independent events.We can…

Q: Given that P(A) =, P(A U B) =. P(A uc) = and P(B UC) =. 10 P(B). P(C). Find, (a) (b) (c) P(A/C).…

A: Note: As per the instructions we are allowed to solve first three subparts. Kindly repost the other…

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

A: The formula for conditional probability is,

Q: (10) A box contains 12 black marbles and k white marbles. If a marble is picked at random 5 -. Find…

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Q: Assume the following informaon. The height of adult women in the city of Boston can be characterized…

A: 1. Let X denote the height of a randomly selected woman from City B. It is given than X has a normal…

Q: If A and B are two events with P(A) = 2/3, P(B) = 1/5, P(A ʼn B) = 1/15 then Find P(ANB)

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Q: In the given equation as folows , the random variable n represents the number of units of a product…

A: Given,

Q: If P(A) 04, P(B') =05 and P(A and B) 0 01 Which statement is correct? I P(B)= 06 %3D 2 P(A/B) 0 02 3…

A: Note: Hey, since multiple questions are posted, we will answer first question for you. If you want…

Q: if A, B are two event in sample space . if P(A) = 2 P(B) = 3 P(AN B) find P(A|B) Select one: a. • .…

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Q: Using the law of total probabilty Suppose we have a sample space S and two events A and B such that…

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Q: If A and B are two events of a sample space then p(A)=0.2 and p(B)=0.6 a d p(A/B)=0.5 then P(A/B)=

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Q: For two events A and B, P(A) = 0.3 and P(B) = 0.4. %3D (a) If A and B are independent, then P(AU B)…

A: given that PA=0.3,PB=0.4a)If A and B are independentPA∪B=PA+PB-PA∩BPA∩B=PA·PBPAB=PAsoans:…

Q: Let A and B be two events in a sample space S. Suppose P(A) = 0.5, P(B) 0.3, and P(A n B) = 0.2.…

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Q: Q. 2 If A and B are two events associated with an experiment and P(A) = 0.4, P(AU B) = 0.7, and P(B)…

A: From the provided information, P (A) = 0.4 P (A Ս B) = 0.7 P (B) = p

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: If A and B are two events with P(A) = 2/3, P(B) = 1/5, P(A n B) = 1/15 then Find P(ANB)

A: Answer: From the given data, P(A) = 23 P(B) = 15 P(A∩B) =115

Q: Suppose that events E and F are independent with P(E)= 0.5 and P(F) = 0.7 What is P( E and F )…

A: Answer: From the given data, Suppose that events E and F are independent  P(E) = 0.5 P(F) = 0.7

Q: Let A and B be events such that P (A) = 1/5 P (A & B) = 1/10 and P (A or B) = 1/2 Determine P (B)

A: P(A)=15P(A and B) = 110P(A or B) = 12

Q: A gardening inspector randomly selects people one be one from a large population until she finds…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

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

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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.