For this question, assume Pr[A] = .3, Pr[B] = .4, and Pr[A ∩ B] = .15. Find the following values. (Be careful on parts c and d! Think about what the formula is. You may need a Venn diagram to help you with those problems). (a) Pr[A|B]. (b) Pr[B|A]. (c) Pr[A|B compliment].

Q: (3) Let X € D4 such that X ‡ R270- Find all Y € D4 such that XY2 = R90. Explain your reasoning.

A: Given:  X, and Y are the elements of the dihedral group D4 such that X≠R270 and XY2=R90. To Find :…

Q: B. (P +Q+R+M+ N) u= V4 - Vw +1 du Pw + Qw² +3 +R/w +1 u" or dw? 9u" (w +1)"

A: Given

Q: ta) Find the mode of the following distribution: 7. 4. 3. 5. 6. 3. 3. 2, 4, 3. 4, 3, 3. 4. 4, 2. 3…

A: Given data is 7,4,3,5,6,3,3,2,4,3,4,3,3,4,4,2,3 We have  to find Mode of the given data set : The…

Q: 12. Use the information to answer the following question. (x*) What is the value of the question…

A:

Q: The answers go with in the interval [0,4].

A: According to guidelines ,I am doing first 3 subparts. Repost for next question.

Q: Can someone help me with this problem?

A: The given intersection of two sets is

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A: 400p2-x2=1599 here given quantity is x=1000 units = 1 thousand 400p2-12=1599 400p2-1=1599…

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A:

Q: Let A = {2, y, 6} and B = {x, 4, z}. which of the following are relation from B into A O a. R = {(2,…

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A: We need use inspection method for the given graph to find the value of y at

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A: 3) Choose whether the following statements are true or false: (a) λx·λy·yx is α-equivalent to…

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A: Given that the particle size data for a sample of spherical particles is given as volume percentages…

Q: 2x2 + 3r +2 2 +2

A:

Q: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

A: Suppose that the consumer expenditure E (in dollars) depends on the market price p per unit (in…

Q: T T T F 29. If x and y are real numbers and x² < y² then x < y. F 30. Let A, B, C and D be sets with…

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Q: Graph the solution set. XI > 1 OA. -11 -10 O B -11 -10 10 11 Oc. + -11 -10 -6 -3 10 11 O D. + -11…

A: Given that |x|&gt;1 . We need to find out the solution set graphically.

Q: V5. 1 Determine the value of x using the diagram provided.

A:

Q: Prove the following:  If a <b, then -b < -a

A:

Q: If f(x) = 2a? + x +1, then (f + f )(1) = O a. 8 O b. - 4 O c.-8 O d.4

A:

Q: Consider the following arrow diagrams A. Which of the diagrams determine relations from X to Y? B.…

A:

Q: 2.3.9. Let A= [-4,2), B= (-1,6), C=(-0,1], Find and write in interval notation: (a) AUB, (b) AB, (c)…

A:

Q: Question: Evaluate the following. Va + 4+h – Væ +4 lim h -4Va + 4 Va + 4 +4 1 2Va +4

A:

Q: If you have the following formula of the error (for very small h): h+h3+h, the order of error is…

A: The order of the function can be written as f(x)=O(g(x)), for x≥x0. The value of g(x) will give the…

Q: If an expoential relation such as y=bx, if b > 0 and b ≠ 1, then the y intercept is at zero. Is this…

A: The given problem is to check whether the y intercept is at zero is true or false.

Q: 2y is equal to V27x O True O False

A:

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.