4. Suppose that P(A)=0.7 and P(B)= 0.5, and P([AUBY) =0.1. Find a) P(AOB) b) P(A| B) c) P(B|A)

Q: 4.60 Suppose P(A) =.6 and P(B) =.22. a. Determine P(A U B) if A and B are independent. b. Determine…

A: GivenP(A)=0.6P(B)=0.22

Q: Suppose P(A and B) = x, P(BlA) = y, and P(B) = z. What is P(A or B)?

A: According to the given information in this question We need to find the following probability

Q: If P(- b < z < b) = 0.4726, find b. b=

A:

Q: Pr('green' | 4 or 6) b) Use a tree diagram and apply the multiplication principle to find the…

A: Conditional Probability : Probability of event A when given B has happened P(A|B)=P(A∩B)P(B)

Q: If P(A) = 0.29 , P(B) = 0.32,  P(A | B) = 0.38 then P(A ∩  B) =

A: Bayes' theorem can be used to compute conditional probabilities and isexpressed as P(A|B)…

Q: If A = (; A-: )-..R. e M2x 2(R), find A" for any positive integer n.

A:

Q: If A and B are independent, and the P(A) = 0.35 and P(B) = 0.45 find: a) P(A ∩ B)…

A: Given that P(A) = 0.35 P(B) = 0.45 A, B are independent events.

Q: 14. Given P(A) = 0.25, P(B) = 0.28, and P(B|A) = 0.28, are A and B independent or dependent?

A: Given that: P(A) 0.25 P(B)=0.28 P(B|A) =0.28

Q: 1. Simplify the following statement: [(Ra) V (q -r)] ^ ()

A:

Q: 4. If P(A) = .6, P(B) = .3, and P(A N B) = .2, then P(B| A) %3D ---- .33 .5 .67 O.9

A:

Q: If S= {a,b,c} with P(a)= 2P(b)= 4 P(c), find P(a)

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 5P(c), find P(a).

A: Total probability:If a sample space contains mutually exclusive and exhaustive events, then the sum…

Q: 6. If P(A) = 23, find P(Ā).

A: Given that. P(A)=0.23

Q: 1. Find P (AN B).

A: Here use basic probability rule

Q: 0.39, -Compute the pmf of Y.

A: Let's the events be,The corresponding probabilities are,Let Y be the number of days beyond Wednesday…

Q: Suppose that P(A) = 0.1, P(B) = 0.3, and P(A|B) + P(B|A) = 0.8. Find P(A ∩ B).

A: From the information, given thatThe formula of the conditional probability, for any two events…

Q: p(a)= 0.40 and p(b) = 0.20 and p(b|a)= 0.30 find p(a|b) A) 0.15 B) 0.36 C) 0.69 D) 0.00 E) 0.18

A: We have given that p(a)= 0.40  p(b) = 0.20  p(b|a)= 0.30 p(a|b) = ?

Q: Suppose A and B are independent and mutually exclusive. P(A) = 3/10. Can you determine P(B)?

A: GivenA and B are independent and mutually exclusive eventsP(A)=310

Q: Suppose that P(A) = 0.4, P(B) = 0.3 and PAUB)-042, then a. A and B are dependent b. none of the…

A: We have to find out correct answer...

Q: If the P-value is less than the a value, which one is correct? Reject Ho or fail to reject Ho Ans:

A: if the P-value is less than the α value ,than

Q: 3. Show by an example that the following statements are false. i. a - (b c) = (a - b) (a - c) for…

A: ( i )  a - (b • c) = ( a - b ) • (a - c )  fo all a , b , c belongs to real number R   We show that…

Q: If P(A) = 0.29 , P(B) = 0.32,  P(B | A) = 0.42 then P(A ∩  B) =

A: GivenP(A)=0.29P(B)=0.32PB/A=0.42

Q: -2/=1) dz 7. Evaluate

A:

Q: 5. Given that C and D are independent and P(C | D) = 2/3        P(C ∩ D) = 1/3 find (a) P(C) (b)…

A: Given that, P(C|D) = 23 P(C∩D)=13

Q: :Assume P (ANB) = .12, P ( A n B .29, and P ( A UB) = .72. Find P(A).

A: Solution-: Given: P(A∩B)=0.12, P(A¯∩B¯)=0.29, P(A∪B¯)=0.72 We find, P(A)=?

Q: 1. If P(A) = 0.4, P(B) = 0.5 and P(AB) = 0.3, find a) P(AB) and b) P(AUB).

A: It is given that P(A) = 0.4, P(B) = 0.5, P(A ∩ B) = 0.3

Q: A. Fail to reject H, because the P-value, 0.0433, is greater than a = 0.05. B. Fail to reject H,…

A: It is known that if the p-value is greater than the level of significance, the null hypothesis does…

Q: 6. Given that P(A) = 0.40, P(B) = 0.35, and P(AB) = 0.10, find; P(A) P(AUB) P(An B9) a. b. C.

A: