Suppose that A and B are two events for which P(A) = 0.29, P(B) = 0.74, and P(B|A) = 0.42 Find each of the %3D following: A. P(A and B) = 21.46 В. Р (А or B) 3 20.43 С. Р(A| B) %3D

Q: If P(A) = 0.33%, P(B) = 0.79%, and A and B are mutually exclusive, what is P(A ∩ B)?

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Q: If the variance of x is 4 then the variance of 3 + 5x is (a) 100 (b) 103 (c) 20 (d) 23

A: Step 1:Adding a constant a to a random variable does not change its variance, and multiplying a…

Q: Suppose that A and B are independent events such that P(A) =0.70 and P(B) = 0.20. %3D Find P(AN B)…

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Q: If P(ENF) = 0.081, P(E|F) = 0.18, and P(FE) = 0.2, then (a) P(E)= (b) P(F)= (c) P(EUF)= (d) Are the…

A: P(E∩F)=0.081 P(E|F)=0.18 P(F|E)=0.2

Q: Find E(X) =  Find Var(2X + 100 - 24) =  What is the probability that a child in Sweden can speak…

A:

Q: For two independent events A and B, if P(A O B) = 0.0048 and P(B) = 3P(A), then P(A) is equal to:…

A: According to the given information, we have Events A and B are independent events such that,…

Q: (iii) Given that the events A and B are such that : 3 P(A) = P(AUB)= and P (B) = p. 2' Find the…

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Q: For two independent events A and B, if P(A n B) = 0.049 and P(A) = 10P(B), then P(A) is equal to:

A: Step 1:Given that :P(A∩B)=0.049P(A)=10P(B)Find the P(A).Step 2:A and B are independent events.We can…

Q: Suppose that 39% of all patrons at Goldy's gym spend more than 10 hours a week at the gym. Goldy's…

A: Given that  n=60 , p=39%=0.39 , q=1-p=1-0.39=0.61 X~Binomial(n=60 , p=0.39) P=Probability Goldy's…

Q: what is P(B)

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Q: 4. (a) Explain in words the meaning of P(A|B) State the relationship between A and B when: (i)…

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Q: Suppose that historically, the proportion of people who trade in their old car to a car dealer when…

A: Givensample size(n)=115No.of old cars(x)=46p^=xn=46115=0.40

Q: b) Find the variance Var(X) of X.

A:

Q: If events A and B are independent and P(A)= 0.32, P(B)= 0.28 Calculate P(A and B)? Round to…

A: Answer: From the given data, P(A) = 0.32  and  P(B) = 0.28 If events A and B are independent events

Q: For two independent events, A and B, P(A) = .3 and P(B)= .5. a. Find P(ANB)=| b. Find P(A|B)=|

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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: uppose two events A and B are dependent and P(A) = 0.3 and P(A and B) = 0.2. ind the P(B given A).…

A: Given that   P(A) = 0.3 and P(A and B) = 0.2 A and B are dependent.  P( B /A ) = ?

Q: If P(A) = 0.20, P(B) 0.45, and if A and B are independent, then P(AUB) equals %3D O a. 0.29 b. 0.74…

A: GivenP(A)=0.20P(B)=0.45

Q: P(A) = .6, P(B) = .3, P(B | A) = .5 %3D P(A or B) = O A. .9 О в.5 О с. 4 O D. .15 O E. .6

A: GivenP(A)=0.6P(B)=0.3P(B|A)=0.5

Q: The joint probability distribution of precipitation X (inches) and runoff Y(cfs) (discretized here…

A: "Since you have posted a question with multiple subparts, we will solve first 3 sub-parts for you.…

Q: For two events A and B, P(A)=0.5 and P(B)=0.2. Then P(A or B) equals

A:

Q: A correlation of 0.95 for two variables X and Y implies that if X increases, there is a 95% chance…

A: Correlation is employed to estimate the linear relationship between the variables X and Y. Here the…