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: A class contains 50 students. The probability of failing in one of the courses for each : 0.035, but…

A: From the given information, There are 50 students. The probability of failing in one of the courses…

Q: Let A and B be events such that P(A)=.P(B)= and P(AUB)= 5. 10 (a) Find P(A|B) (b) Find P(A|B') (c)…

A:

Q: (b). A and B are two events such that 3 P(-4)=P(B) = 1/ and P(AUB) = 2 4 Calculate: (i). P(BA) (ii).…

A:

Q: Find the probability that Taylor Swift is Austin’s favorite music artist or Austin will go to a…

A: Define so events A: Taylor Swift is Austin’s favorite music artist. B: Austin will go to a Taylor…

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

A: Let X is a random variable. Then the variance of X, denoted by Var(X), is a measure of dispersion of…

Q: Pr[A]=7/9 Pr[B]=2/9 Pr[a|A]=3/5 Pr[b|A]=2/5 Pr[a|B]=1/3 Pr[b|B]=2/3 Find the following missing…

A: 1) Pr[B]=29 [given]2) Pr[b]=Pr[A and b]+Pr[B and…

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

A:

Q: Find the probability that the first traffic light is green given that the second traffic light is…

A: P(A) = 0.55. P(AC) = 0.45 P(B|A) = 0.75 P(B|Ac) = 0.09 P(B) = 0.453P(A|B) = ?

Q: Let X be a random variable with E(X)= 1 and E[X(X-1)]=4,then evaluate Var(2-3X).

A:

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: (a) Pr(B|A) = 1/2. (b) Pr(B) = 4/7. (c) Pr(A| B) = 7/13. (d) The events A and B are mutually…

A: Given that, A bag contains 4 green balls and 3 red balls. A ball is selected at random from the bag.…

Q: Q2. Two events A and B are said to be dependent if and only if:

A: Here use basic of dependent events

Q: A and B are two events with P(B) = 0.38, P(A and B) = 0.23, P(B|A) = 0.42 Find P(A) Round to…

A: Answer: From the given data, P(A) = 0.38 P(A and B) = 0.23 P(B | A) = 0.42

Q: A and B are two events with P(A) = 0.36, P(A and B) = 0.23, P(A|B) = 0.44 Find P(B) Round to two…

A:

Q: A class contains 30 students. The probability of failing in one of the courses for each student is…

A: Given information: The number of students is n = 30. The probability of failing in one of the…

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: Events A and event B are mutually exclusive, P(A)=0.5 and P(B)=0.3 Calculate the following,…

A: Answer: From the given data, P(A) = 0.5 P(B) = 0.3 Events A and B are mutually exclusive,

Q: Two events, A and B, are such that P(A∪B) = 0.86, P(B) = 0.72 and P(A) = 0.64. Determine (i) P…

A:

Q: (Q4). The probability that a patient will recover from a rare blood disease is (0.4) if (15) people…

A:

Q: What is the probability of observing leukemia remission when the cellularity of the marrow clot…

A: Solution: Given  lnπ(y=1)1-π(y=1)=-2.88+3.08CELL-2.5INFIL The estimated logistic regression equation…

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: * (2) Two events A and B are such that P(A) = 0.5, P(B) = 0.3 and P(A/B) = 0.1. Then P(A|AUB) is (a)…

A:

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: For two events A and B, P(A) = 0.3 and P(B) = 0.4. %3D (a) If A and B are independent, then P(AU B)…

A: given that PA=0.3,PB=0.4a)If A and B are independentPA∪B=PA+PB-PA∩BPA∩B=PA·PBPAB=PAsoans:…

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: 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: 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: If A and B are independent events P(A)= 0.25 and P(AuB) = 0.67 then Find P(B)

A: From the given data, A and B are independent events, P(A)=0.25 P(A∪B)=0.67

Q: A class contains 50 students. The probability of failing in one of the courses for each student is…

A: From the given information, There are 50 students. The probability of failing in one of the courses…

Q: Suppose a basketball player who makes a free throw shot with success 80%. Let X be the number of…

A: From the provided information,Probability of success (p) = 0.80n = 5

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

A:

Q: For two events A and B, P(A)=0.24, P(B)=0.57, and P(A∩B)=0.32. a.Find P(A|B) b. Find P(B|A) c.…

A:

Q: Suppose that E and F are two events and that P(E)=0.8 and P(F|E)=0.5. What is P(E and F)​?

A: Given data,  P(E)=0.8  P(F|E)=0.5 P(E and F)​=?

Q: For two events A and B, P(A) = 0.3 and P(B) = 0.4. (a) If A and B are independent, then P(ANB) =…

A: The question is about probability.Given :P ( A ) = 0.3P ( B ) = 0.4

Q: If 25% of the oranges produced by a farm is defective in a random sample of 20 oranges, then if the…

A: Given 25% of total 20 oranges are defective, To calculate (X&gt;3) if X represents the number of…