Iftwo events, A and B, are such that P(A) =.5, P(B) = .3, and P(A N B) =.1, find the following: a. P(A|B) b. P(B|A)

Q: Given P(A) = 0.152, P(B) = 0.076, and P(C) = 0.198, and that events A, B, and C are mutually…

A: We have given that  P(A) = 0.152, P(B) = 0.076, and P(C) = 0.198, A , B ,and C are mutually…

Q: Let A and B be events with P(A) = 0.5 and P(A∩Bc) = 0.4. For what value of P(B) will A and B be…

A: P(A)=0.5 and P(A⋂Bc)=0.4. The events A and B are independent, if P(A⋂B) = P(A) P(B).

Q: Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 64. Determine (i) P (? ∩…

A: A and B are two events. The known values are PA=0.64, PB=0.72 and PA∪B=0.86 i)…

Q: Let A, B be events with P(A) = .60,  P(B) = .20, and P(A and B) = .10.  Find P(A|B)

A:

Q: If A and B are independent events, P(A)=0.25, and P(B)=0.79, what is P(B|A)?

A:

Q: Let A and B be events with P(A) = 7/15, P(B) = 10/15, and P((A U BỊ ) = 4/15 ?What is P(A N B)

A:

Q: If A and B are mutually exclusive events with P(A) = 0.295, P(B) = 0.32, then P(A | B) =

A:

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: Suppose that A and B are two events such that P(A) + P(B) < I. a What is the smallest possible value…

A: Given, A and B are two events such that P(A)+P(B)&lt;1

Q: If A and B are independent events, P(A)=0.22, and P(B)=0.71, what is P(B|A)?

A: Given: A and B are independent P(A)=0.22 P(B)=0.71   A and B are independent means that occurring of…

Q: Let A and B be independent events with ​P(A)=13 and P(B)=12. Find​ P(A∩​B) and​ P(A∪​B). P(A∩​B)=…

A:

Q: If A and B are independent events with P(A)=0.1 and P(B)=0.7, find P(A AND B).

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

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: Consider, If A and B are independent events, P(A)=0.26 and P(B)=.76, Find: 1. P(A N B) 2. Р (A| B)…

A: Given , Consider, If A and B are independent events, Then , P(A) . P(B)  = P  ( A ∩  B ) Also , P (…

Q: Suppose A and B are dependent events and P(B | A)=0.4, P(ANB)=0.1, P(B')=0.62. Find P(A U B).

A: Consider that A and B are two dependent events.

Q: If A and B are independent events, P(A) = .4, and P(B) = .3, find P ( A ∩ B ) = .

A: Given:- A and B are independent events. PA=0.4PB =0.3 We have to calculate PA∩B=?

Q: If A and B are events with P(A) = 0.2, P(A OR B) = 0.61, and P(A AND B) = 0.19, find P(B). %3D…

A: Given Information: PA=0.2PA OR B=0.61PA AND B=0.19To find PB

Q: Given P(A) = 0.061, P(B) = 0.197 and P(C) = 0.080 , and that events AB, and Care mutually exclusive,…

A: Given: P(A)=0.061P(B)=0.197P(C)=0.080 Since all three events are mutually exclusive. The objective…

Q: I. Find P(C U B). J. Are C and B mutually exclusive events? Show why or why not.

A:

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: A and B are events such that P(A) = 0.2, P(B) = 0.6, and P(A&amp;B) = 0.1. Find P (A or B).

A: Given: P(A) =  0.2, P(B) = 0.6 and P(A and B) = 0.1

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: Given A and B are independent events, with P(A) = 0.50 and P(B) = 0.30. Find P(An B)

A: Given: P(A) = 0.50 P(B) = 0.30

Q: Suppose that EE and FF are events of a sample space, SS. If Pr[E′∩F]=0.2Pr[E′∩F]=0.2,…

A: Given that:PrE'∩F=0.2, Pr[F]=0.5, Pr[E'∩F']=0.2We have to find Pr[E].

Q: If P(A) = 3/4 and P(A and B) = 1/2, where A and B are dependent events, then P(B|A) equals?

A: Solution: From the given information, P(A) = ¾ and P(A and B)=1/2.

Q: For events A and B, P(A) = 0.24 and P(B) = 0.4. If A and B are independent events, then what is the…

A: We have to find the probability.

Q: If A and B are independent events, P(A)=0.25, and P(B)=0.85, what is P(B|A)?

A: Given that, A and B are independent events. P(A) = 0.25 P(B) = 0.85

Q: A, B, and C are mutually exclusive events and P(A) = P(B) = and P(C) ½, "(B'n c'). = find

A:

Q: Consider, If A and B are independent events, P(A)=0.26 and P(B)=0.76, Find: 1. P(A n B) 2. P(A| B)…

A: Given: P(A)=0.26  P(B)=0.76

Q: If A and B are independent events, P(A)=0.18, and P(B)=0.79, what is P(B|A)

A: Given that; P(A) = 0.18 P(B) = 0.79 If A and B are independent events,

Q: Let A and B be events with P(A)=.07, P(b)=.44, and P(B|A)=8 P(A and B)= ?

A: Given problem  Given that A and B be events P(A) = 0.07 P(b) = 0.44 P(B|A) = 8 We have to find P(A…

Q: Given P(A) = 0.91, P(B) = 0.35, and the fact that events A and B are independent, What is P(A and…

A:

Q: If P(A) = 0.2, P(B) = 0.4, and A and B are independent events, find P(A and B)

A: Solution: From the given information, P(A)=0.2 and P(B)=0.4.

Q: Let A, B be events, with P(A) =.2, P(B) = .4, and P(A|B) = .25. Find P(A and B)

A: Given data, P(A) =.2 P(B) = .4  P(A|B) = .25 P(A and B)=?

Q: Let A and B be events with these properties: 0 &lt; P(B) &lt; 1 and P(A|B) = P(A|B^c) = 1/3.(a) Is…

A:

Q: d B are independent events, P(A)=0.18, and P(B)=0.80, what is P(B|A)?

A: If the probability of occurrence of one event is not affected by the probability of occurrence of…

Q: Given  P(A) = 0.6  and  P(B) = 0.4,  do the following. (a) If A and B are independent events,…

A: If A and B are two independent events, then it is known that P(A and B) = P(A)P(B).

Q: If A and B are independent events and P(a)=0.6 and P(b)=0.3, what is P(a^c U b^c)?

A:

Q: If A and B are independent events, P(A)=0.22, and P(B)=0.28, what is P(B|A)?

A: Introduction: Suppose X and Y are two events, with respective probabilities P (X) and P (Y). Denote…

Q: if two events A and B are manually exclusive, what is the value of P(A and B)?

A: If two events not occur at same time,then those events are called as mutually exclusive events.

Q: If A, B, and C are mutually exclusive events with P(A) = 0.3, P(B) = 0.2, and P(C) = 0.4, determine…

A: Ans#   Given  A, B, and C are mutually exclusive events with P(A) = 0.3, P(B) = 0.2, and P(C) = 0.4…

Q: On the assumption that the two events A and B are mutually exclusive, P(A or B)= P(A)+ P(B). How…

A: If two events A and B are mutually exclusive i.e they can not be occur simultaneously then  P(A and…

Q: If P(A|B) = 0.3, P(B) = 0.8, and P(A) = 0.3, are events B and the complement of A independent?…

A:

Q: Let A and B be two events with P(A) = 0.71 and P(B) = 0.44. What is the smallest possible value of…

A: According to the given question, A and B be two events with probability P(A)=0.71  and P(B)=0.44…

Q: If A and B are independent events with P(A)=0.6 and P(B)=0.2, find P(A AND B).

A: P(A) = 0.6 P(B) = 0.2

Q: Are the two events "owning a dog" and "owning a cat" complementary? O YES O NO O CAT O DOG

A: We have to find the

Q: In the city of Savannah, Georgia, 22% of young couples take wedding pictures along the Riverwalk…

A: Given information:Denote the event of young couples take wedding pictures along with the river walk…

Q: Suppose events A, B, and C are independent and 1 1 P(A) = 6. %3D 42 Find the probability P(AUB).

A:

Q: If A and B are independent events, P(A)=0.28, and P(B)=0.67, what is P(B|A)?

A: Solution: Independent events: Two events A and B are said to be independent if the happening of one…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.