For two events A and B, P(A) = 0.4 and P(B) 0.1. (a) If A and B are independent, then P(ANB)%3D P(A|B) = - AU-, = (b) If A and B are dependent and P(A|B) = 0.1, then P(AN B) = P(B|A) =

Q: If gcd(m, 28) = 4 and gcd(3,7) = 1 then m = %3D %3D

A: Given: gcdm,28=4  First, we will calculate G.C.D of all options with 28. a gcd4,28=4 ∵ Greatest…

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: Y = 0 1 2 X = 0 .10 .25 .25 1.05 a .25 p(v) p(x) Find: (a) a. (b) The marginal probabilities for X…

A: Solution: We need to find the value of constant a and the marginal probabilities for X and Y

Q: Q1: Who is mare likely to feel vulnerable after being a victim of a vialent crime? We hypothesize…

A: Solution: The observed frequency table is    Feel Anger Row Race No  Yes Total  White  A…

Q: Assume that p(A1) = 0.3, %3D p(A2) = 0.7, p(BIA1) = 0.84 and p(B/A2) = 0.76. Find p(B) %3D

A: Given Information: P(A1) = 0.3 P(A2) = 0.7 P(B|A1) = 0.84 P(B|A2) = 0.76 To find P(B) : Required…

Q: Given P(A) = 0.28, P(B) = 0.20, and P(B|A) = 0.28, are A and B independent or dependent?

A: Conditions: If A and B are independent events then  Otherwise, A and B are dependent.

Q: d t In(t)dt} dx 3

A: We will find out the derivative of given function using fundamental theorem of calculus.

Q: (TRUE / FALSE) For two random variables, X and Y, Var(X+Y) = Var(X)+Var(Y) if X and Y are…

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Q: The probability (i) that A can solve a prob Statistics is 4/5, (ii) that B can solve it is 2/3,…

A: We have given that A can solve a problem in statistics is 4/5 B can solve it is 2/3 C can solve it…

Q: If a potential customer is exposed to 4 promotions in a given month, what is the probability that…

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Q: Show that E [ X – m]³ = E(X)³ – 3m, o- m and o? are the mean and %3D where variance of X…

A:

Q: how did you get the covariance (0.048)

A: From the information the values are given as, The formula for calculating the correlation…

Q: Question (3): Mr. Samy is planning for farming dates this year based on the temperature probability…

A: We have to use Bayes theorem to find the conditional probability.

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A: 80% are pregnant and 20% not pregnant

Q: X is given in thousands, so payouts range from 0 to $3,000. Find the probability that a policy…

A: X is given in thousands, so payouts range from 0 to $3,000. Find the probability that a policy…

Q: If X and Y are independent random variable find covariance between X+Y and X-Y. Answer:

A: Given that X and Y are independent random variables. We need to find covariance between X+Y and X-Y

Q: given P(A) = , P(AU B) = , P(B|A) = }, P(C\B) = P(C\AN B) = }. Find P(A|BnC). You are an %3D

A:

Q: The probabilities of two events A and B are P(A) = 0.5 and P(B) = 0.3 respectively. If P( A U B ) =…

A:

Q: For Question 2 Let A and B are two independent events such that P(A)=0.3 and P(B) = 0.15. Calculate…

A: P(A)=0.3 and P(B)=0.15A and B are independent.

Q: (10 points) Let F = {{a,b}, {c, d}}. What are each of the following %3D (a) (2 points) UF (b) (2…

A: Given the set F

Q: How would you find the probability of this equatio

A: Given information: PrA=25..........(1)PrA∪B=35.............(2)PrB|A=14PrA∩BPA=14PrA∩B=14*PA…

Q: Given P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A andB independent or dependent?

A: Conditions: Events A and B are independent, then  Otherwise, A and B are considered dependent

Q: You and your best friend are part of a group of 102 students which are to be divided into 3 classes…

A: Group of 102 students Divided in 3 equal classes ( 102/3 = 34 students in each group) P(both friends…

Q: For this problem, assume that Pr[A∪B]=0.55Pr[A∪B]=0.55 and Pr[A]=0.25Pr[A]=0.25. (1) What is…

A: P(A or B) =0.55 and P(A) =0.25. Events A and B are independent.

Q: P(B AND B2) = [Select] %3D P(At least one blue) = [Select] P(B2|B1) = Select ] Are B1 and B2…

A:

Q: If X Z N(5,4), then what is the probability that 8 < Y < 13 where Y = 2r +1?

A: Solution: Let X~N(μ= 5, σ2= 4)

Q: For an experiment, roll 2 fair dice. Let the random variables, X = sum of the 2 dice  Y = larger…

A: For an experiment, roll 2 fair dice.Let the random variables, X = sum of the 2 dice Y = larger value…

Q: Suppose, you are given a straight-line equation, 3x+2y=6 where x and y both of them are integer…

A: ∣y∣&lt;12 means that the values of ∣y∣ can be 11,10,9,8,7,6,5,4,3,2,1 and 0.  Value of |y|…

Q: For a particular disease, the probability that a patient passes away within the xth year is given by…

A: Given that: x P(x) 0 0.039 1 0.034 2 0.337 3 0.291 4 0.25 5 0.023 6 0.026

Q: Ans. 11/30 Q.20 A coin and a die are thrown together. Find the chance of throwing a head and 5 or a…

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

A: Note: Thank you for the question. Since multiple subparts are posted, we are answering the first…

Q: If A and B are not independent, and their respective probabilities of occurring are given by P(A) =…

A: Given that  P(A)=0.6 P(B)=0.7 And P(A and B)=0.95 To find the P(A or B) and P(B/A)

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A:

Q: why the correct answer is letter C?

A: The objective of the question is to find the probability that more than 2 devices are defective in a…