Let A and B be events. Assume that P(A) = 0.55, P(B|A) = 0.36, and P(B|A') = 0.84. Then, P(A∩B)=?, P(B)=?, P(A|B)=?.

Q: J and K are independent events. P(J | K) = 0.2. Find P(J) P(J) =

A: Obtain the probability of P(J). The probability of P(J) is obtained below as follows: From the…

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A: Geometric distribution In series of Bernoulli trials, the random variable X denotes number of trials…

Q: (a) the probability of transmitting (1) with condition of receiving (1) at the receiver end. (b) the…

A: Given,  P(m1) = 0.45 So, P(m0) = 1-0.45 = 0.55 P(B0|m0) = 0.40, So, P(B1|m0) = 1-0.4 =0.60 P(B0|m1)…

Q: A and B are independent events. If Pr(A∩B)=0.18 and Pr[A]=0.3 what is Pr[B]?

A: Independent events : The event A and event B are independent if ,  P( A∩B ) = P( A )×P( B )

Q: Let X and Y be two events such that P(X)=0.5,P(Y)=m, and P(X∪Y)=0.8. Find the value of m for which X…

A:

Q: Q.2 Find the probability generating function of :1) P(X=2n) 2) P(X<n).

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Q: events x and y are such that px = 0.35 and px ∪ y = 0.80. given that x and y are independent and…

A: Given That, p(x)=0.35 p(x ∪ y )=0.80 Given that x and y are independent and non-mutually exclusive…

Q: Suppose that P(A) = 0.1, P(B) = 0.8 and P(A U B) = 0.3, then P(AnB) = 0.76 O 0.6 O 0.7 None of these

A:

Q: lergic reactions to poison ivy can be miserable. Plant oils cause the reaction. Researchers at…

A: d) We have to find P(N and W),P(M and W) e)P(N or M)=? We have to check whether events N and M…

Q: The events A and B are such that P(BIA)= 0.2, P(B|A') = 0.3, P(A|B)= 0.4 and P(A) = p a) Find the…

A: the events A and B are such that P(B|A)=0.2,  P(B|A')=0.3,  P(A|B)=0.4 and  P(A)=p

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Q: J and K are independent events. P(J | K) = 0.76. Find P(J) P(J) =

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

Q: Q15: Let A and B be two events such that Let A and B be two events such that P (A) > 0 and P (B) >…

A: When two events are independent PA∩B=PA×PB And PA∩B=0 can only be possible when either PA=0 or PB=0

Q: Find the probability !is pad.f. (2x+1) 15 x=1,2,3 p(x) = elsewhere

A: given p.d.f  p(x)=115(2x+1)   x = 1,2,3

Q: Which of the following statements is FALSE? Select one: If events A, B and Care independent, then A…

A: Option  b and  Option c is false. Because from the option b is given that the symbol is less than…

Q: Let X and Y be two possible events with P(X) = 0.3 and P(Y) = 0.20 respectively. Assume that events…

A: The two probability values are P(X) =0.3 and P(Y)=0.20

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Q: (b)Let X be a random variable with p.d.f. fx) c *123 zero elsewhere. Find the constant c.

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Q: Use Bayes'Theorem to determine P(B|D) P(B|D)= (Round to two decimal places as needed)

A: Given,   Event A Event B Total Event C 2 5 7 Event D 3 8 11 Event E 17 15 32 Total 22 28…

Q: J and K are independent events. P(J | K) = 0.19. Find P(J) P(J) =

A: Given,     The objective is to find the P(J).

Q: For any three events A, B, & D. Such that Pr(D)>0. Prove that Pr(A U B|D) = Pr(A|D) ÷ Pr(B|D) - Pr(A…

A: Given that, there are three events A, B &amp; D. We have to prove that, Pr(A U B|D) = Pr(A|D) ÷…

Q: Η 0.1 0.4 11 0.25 C

A: The given Venn diagram is

Q: Let X and Y be independent, taking on {1,2,3,4,5} with equal probabilities.  E((X+Y)2)=?

A: We have given that X and Y be independent random variables.   The distribution of X is: P( X=x ) =…

Q: Let A and B be events such that Pr[A]=0.37, Pr[B]=0.62, and Pr[A N B]=0.11. Find Pr[A|B].

A:

Q: Let E and F be independent events such that P(E) = 0.4, P(F) = 0.6.. Find P(E| F) and P(E U F). 5.

A:

Q: A and B are independent events. If Pr(A∩B)=0.4 and Pr[A]=0.5 what is Pr[B]Pr[B]?

A: It is given that, P(A)=0.5, P(A and B)=0.4.

Q: J and K are independent events. P(J | K) = 0.93. Find P(J) P(J) =

A: A and B are the Independent Event if P(A ∩ B) = P(A) P(B)

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Q: Let SN = X1 + X2+..+XN. IfN takes the values 0, 1, 2, 3 with probabilities 0.5, 0.3, 0.1, 0.1…

A:

Q: b. Use the fact that the total probability is equal to 1 to create a formulafor P(X = 3) in terms of…

A: Given information:Discrete random variable:If the variable X takes finite or countable values, then…

Q: (d) If we define the events A and B by: A = {(X,Y):2(Y – X) > Y + X} Determine P(Ān B).

A: To find the probability of the said event please repost the question with the respective probability…

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Q: Vx(Fx – Gx) .: VxFx V V×GX

A: Let domain is set of all real numbers.

Q: 2. Let X be a random variable with p.m.f., (1+x? 20X = -1,0,1,2,3 0 ,otherwise. f(x) = Find E(3X² +…

A: Given function isf(x)={1+x220,    x=-1,0,1,2,30         ,   otherwise

Q: Determine the following probabilities: P(X < 0.5, Y < 1.5) and P(X < 0.5) f(x, y) y -2 -1.0 1/3 -0.5…

A:

Q: assume that Pr[A] = 0.45, Pr[B] = 0.35, and Pr[A N B] = 0.25. Compute the following conditional…

A: Given,   The objective is to find the required probabilities.

Q: Given X and Y are two events. LetP(M) = 0.49, P(N) = 0.44, P(MN) = 0.17 Find the value of…

A: M,N are two events.P(M)=0.49P(N)=0.44P()= 0.17we need to find P(M/N')