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

Q: Given A = = [34] 5 2 compute 3.A.

A:

Q: If x is bin(n=5, P=0.3) then P(2)= Select one: a. 0.3087 b. 0.6013 c. 0.15 d. 0.2887 e. 0.3078

A: Given,n=5P=0.3P(X=x)=cxn px(1-p)n-x   ; x=0,1,2,....n

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: Q5. If P(AUB)=0.3, P(A)=0.6 and P(Bº)= 0.7 Find 1) P(ANB) 2) P(A/B)

A: We have given thatP(A ∪ B) = 0.3P(A) = 0.6P(Bc) = 0.7

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 u = (1,6,6), and v=(6,-3,2), proj,u = a. b. scal,u= proj,v%3D с.

A:

Q: 1. Let P(A) = 0.3 and P(B) = 0.6. a) Find P(AUB) when A and B are independent. b) Find P(A/B) when A…

A: P(A) = 0.3P(B) = 0.6

Q: Suppose P(E) = 0.39, P(Fc) = 0.53, and P(FEc) = 0.28. Find P(EF). A) 0.67 B) 0.08 C) 0.33 D)…

A: Given,

Q: f P(A) = 0.18, P(B) = 0.35 and P(A ∩ B) = 0.07, find the following: a. P(A ∪ B) b. P(A\B) c. P…

A: Given that  P(A) = 0.18,  ;  P(B) = 0.35  ; P(A ∩ B) = 0.07 ;    We know that By addition theorem…

Q: If P(A)=0.4, P (BA)=0.35, P (AUB) = 0.69, then P(B) 0.14 0.43 0.75 O 0.59

A: Given that  P(A)=0.4  , P(B|A)=0.35 and P(A U B)=0.69

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: 1. Let P(A) = 0.4 and P(AUB) = 0.6. For what value of P(B) are A and B independent?

A: To find The value of P(B) such that A nad B are independent

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

A:

Q: If P(An B) = 0.3 find P(A U B°) O 1 0.3 0.7

A:

Q: If P( A U B) = 0.5 , P (B) = 0.2, P (A)=0.4 then || P(B|A) Is?

A: GivenP(A∪B)=0.5P(B)=0.2P(A)=0.4

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: and y= If a = 3, then x =

A: Solve using the properties of trigonometric rations

Q: 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)

A: Given data,P(A)=0.7P(B)=0.5P(A∪B)' =0.1P(A∪B)=1-P(A∪B)'=1-0.1=0.9

Q: Suppose that P(A|B) = 0.3, P(A n Bº) = 0.10 and P(A) = 0.25. What is P(B) =? O a. 0,1 O b. 0,5 О с.…

A:

Q: If P(n-1,3):P(n,4) = 1:9,Findn.

A:

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: If P(A) = 3/4 and P(B) = 5/6, then P(A and B) = а. %3D

A:

Q: When m = = 1, 2 4 (1 : 3) (² : 1) (² : 5). . m (m + 2) · 5) = (m + 4) (m + 3) =

A:

Q: Let A = {a, b, c, d}. Find P(A).

A: Let A = {a, b, c, d}. Find P(A).

Q: 1 Given that P(A or B) = =, P(A) = 7' OA. OB. C. OD. 191 504 79 504 65 504 -| 1 21 8 7 and P(A and…

A: Dear student, If you find this solution helpful please upvote ? it. The solution is given below :

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: Fint the ralue value of the following term 2. 5. 2.

A:

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 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: A ∩ B = ∅, P(B) = 0.6, P(A ∪ B) = 0.6.  Find P(A).

A:

Q: Given that P(A) = 0.3, P(B) = 0.2, and P(A and B) = 0.05, Find P(BIA) 0.5 0.667 0.45 0.25 1 0.167

A: GivenP(A) = 0.3,  P(B)= 0.2 ,P(A and B) = P()= 0.05, thenP(B|A) = =0.167

Q: If P(n-1,3):P(n,4)=1:9 ,find n

A: We have to find the value of n if Pn-1,3:Pn,4=1:9

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: