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

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

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

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

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

Q: What is the value of Σ(X - 4)2 for the following scores?  Scores: 4, 1, 6, 5

A: Given that, Scores (X): 4, 1, 6, 5 Calculate (X-4):

Q: The market research team of a company requires some household data from four different cities. The…

A: The market research team of a company requires some household data from 4 different cities. The tea…

Q: Today there is a 90% chance of rain, a 30% chance of thunderstorms, and a 25% chance of rain and…

A:

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

A: Independent events: If A and B are independent, then P(A and B)=P(A)×P(B)

Q: In the following equation, P(cancer positive test): P(positive test cancer) P(cancer) P( positive…

A: In this case, it is needed to define the prior probability.

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

A: Let define the events: B = the student checks out a book   D = the student check out a DVD The known…

Q: (a) Find the probability of the union between (getting the the flu) and (getting the flu shot). (b)…

A: Let A be the event that gets the flu. Let B be the event that gets a flu shot. P(A) = 0.2  P(B) =…

Q: If P(A) = 0.3 and P(B) = 0.6, what is P(A or B) if A and B are independent? 0.72 0.90 0.18 0

A: It is given that P(A) = 0.3 and P(B) =0.6.

Q: Given P(E or F) = 0.72, P(E) = 0.48, and P(E and F) = 0.17, what is P(F)?

A:

Q: Describe about the values of η2 for three different outcomes.

A: You might come across eta-squared while using ANOVA. Eta-squared is a common way of measuring the…

Q: If P(B) = 0.3, P(A or B)= .06, and P(A and B)= .2, find P(A)

A: From the properties of probability, for any two events A and B we have

Q: A soccer player is practicing her goal kicking. She has a probability of 3/5 of scoring a goal with…

A: The sample size n is 15 and p=3/5.

Q: If A and B are independent events P(A) = 0.24 and P(A or B) =0.68 Find P(B)

A: P(A)=0.24, P(A or B)=0.68

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: n1 = 55 and n2 = 65  p1 = .7 and p1 = .6.  Ho:(p1-p2)=0 against Ho:(p1-p2)>0 using a=.05

A:

Q: How do you show that two events are independent?

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

Q: A BSCE student is taking Calculus 2 and Engineering Data Analysis courses. The probability that he…

A: The probability that he will pass Calculus 2 is 23. That is, PPass calculus 2=23, the probability…

Q: Given P(A or B)=0.21, P(A)=0.43, P(B)=.005 What is B

A: The general formula of probability is given by, (P(A or B)=P(A)+P(B)-P(A and B) For this case,…

Q: For two events, A and B, P(A) = 0.5, P(B) = 0.5, and P(A/B) = 0.4. a. Find P(ANB). b. Find P(BIA).…

A:

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: In each of Exercises, decide whether or not the two events in question are independent or whether it…

A: Independent event

Q: Sarah and Thomas are going bowling. The probability that Sarah scores more than 175 is 0.5, and the…

A:

Q: The probability that you will receive a wrong number call this week is 0.2. The probability that you…

A: The probability that you will receive a wrong number call this week is 0.2. The probability that you…

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: If P(A) = 0.1, then (Ã) = 0.8 %3D True or False

A: let A is given any event then A¯ is complement event of A. given, P(A)=0.1

Q: By rewriting the formula for the multiplication rule, you can write a formula for finding…

A: Given The probability that an airplane flight departs on time is 0.91. The probability that a flight…

Q: Let A and B be two events such that P(A) = 1/6 While P(A or B) = 1/2. Let P(B) = P. For what values…

A: P(A or B)= P(A)+P(B)-P(A and B) For A and B to be independent P(A and B)=P(A).P(B) Therefore, P(A or…

Q: Suppose that P(E)=0.15, P(F)=0.45 and P(F|E)=0.7 Are E and F independent? Determine whether the…

A:

Q: 3. A student is taking two courses, history and math. The probability the student will pass the…

A: Given ,  Let , A be the event that the student will pass history course P( A ) = 0.52 B be the…

Q: For two independent events, A and B, P(A) = .6 and P(B) = .2. a. Find P(ANB). b. Find P(A|B). c.…

A: a) The required probability is calculated as follows

Compound Probability

Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent. 

Tree diagram

Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described. 

Conditional Probability

By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.