Suppose that events A and B are mutually exclusive with P(A) =  1 2and P(B) =  1 6. (Enter your answers as fractions.) (a) Are A and B independent events? Explain how you know. Since the events are mutually exclusive we know P(A|B) = which

Q: If events A and B are independent, P(B)-05 and P(A-B)-03, then P(B-A)-

A: The following information has been provided: PB=0.5 PA-B=0.3 We have given that A and B are…

Q: Use the Test for Independence to determine if events A and B are independent. P(A)=0.9, P(B) = 0.5,…

A: Given: P(A)=0.9, P(B) = 0.5, P(A n B) = 0.54 To find: Use the Test for Independence to determine if…

Q: Suppose events A, B, and Care independent and PLA) - PIB) - PC) - Find the probability. (Enter the…

A:

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…

A:

Q: Supposed P(F) = .25, P(F or G) = .70, and events F and G are mutually exclusive.  Find: a) P(G)…

A: (a)If events F and G are mutually exclusive, then, P (F or G) = P(F)+ P(G).Or, P(G) = P (F or G) –…

Q: Let A and B be two events such that p(A) = 0.4 and P(BA) = 0.2. Then P(BnA) = 0.4 0.7 0.6 0.5

A:

Q: events A and B are mutually exclusive, then P(A) + P(B) = 0. True or false?

A: Given that  If two event A and B are mutually exclusive.

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: OA. 0.12 B. 0.4 C. 0.8 O D.0

A: For two events, A and B, The general formula for probability is as: P(A or B)=P(A)+P(B)-P(A∩B). If…

Q: Use the Test for Independence to determine if events A and B are independent. 6 6 P(A) = 7, P(B) =…

A: given;P(A)=67P(B)=17P(A∩B)=649

Q: A student goes to the library. Let B = the student checks out a book and D = the student checks out…

A: Given:P(B) =0.74, P(D) =0.38 and P(B|D) = 0.74.

Q: For any two events A and B. find weather the following statement is true or not: P(A U…

A: To find :  PA∪B≥1-P(AC)-P(BC)

Q: which of the following defines the concept of events A and B being mutually exclusive? A. the events…

A: Two events are said to be mutually exclusive if they cannot occur at the same time. Here, A and B…

Q: Let A and B be two events such that P(A/B) = P(B/A) = and P(An B) = 1/ 1 Then P(AUB) = 2/3 3/4 1/3 O…

A:

Q: 3. A and B are two events such that P(A)=0.5, P(AUB)=0.7. If A and B are independent events, find…

A: 3)A and B are independent eventsP(A)=0.5P(AB')=0.7

Q: B).  Find P(A ∪ B).  Find P(A | B)

A: It is given that P(A) = 0.2 and P(B) = 0.4. a. The value of P(A ∩ B) is, PA∩B=PA·PB=0.2×0.4=0.08. b.…

Q: For any two events A and B, find weather the following statement is true or not: P(A N…

A:

Q: If P(A|B) = 0.5 and P(B) = 0.5, then the events A and B are independent. ture or fals

A: Given :  P(A|B) = 0.5 P (B) = 0.5 A and B are independent events. Then,

Q: Determine if events [A] and [B] are independe P(A) - P(B)- 3 P(A and B) 10 3 25 Answer: 1 P(A and B)…

A: if events [A] and [b] are independentP(A and B)=P(A).P(B)

Q: The events A and B are mutually exclusive. If P(A) = .33 and P ( B) = .26, what is the P( A or B)

A: Given that  P(A) = .33 and P ( B) = .26

Q: Suppose that E and F are two events and that P(E)=0.5 and P(FIE) = 0.6. What is P(E and F)? P(E and…

A: GiveP(E)=0.5P(F|E)=0.6

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: The events A and B are mutually exclusive. If P(A) = .31 and P ( B) = .42, what is the P( A or B)

A: It is given that  P(A) = 0.31 P(B) = 0.42

Q: Suppose P(A) = 0.4, P(B) = 0.3, and P(A n B) = 0. Which one of the following statements correctly…

A:

Q: The Venn dia- The diagram Note that "La One student f Let A denote Let B denote Answer each

A: Solution

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: Two independent events A and B are given, and P (B|A ∪ B) = 2/3, P (A|B) = 1/2. What is P(B)?…

A: It is an important part of statistics. It is widely used.

Q: a)P(Ā) c)P (A nΒ) (d)P (A n Β)

A: Given P(A) = 0.45 P(B) = 0.3 to find i) P(A) ii) P(A n B) iii) P(A n 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 that, for events A and B, P(A)= 0.2, P(B)= 0.85, and P(AandB)= 0.17. Are A and B…

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

Q: If events A and B are not independent, then it is impossible that P(A) + P(B) > 1. Select one: O A.…

A:

Q: Let A and B be events with P(A) = 0.5, P(B) = 0.4. Assume that A and B are independent. Find P(A and…

A: Here the events are indepenedent P(A) = 0.5 P(B) = 0.4

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

A: Here use basic of independent event

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.