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: 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: 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: . If n(A) = 15, n(B2)= 20, and n(A ∩ B) = 10,find n(A ∪ B)

A: Given: nA=15, nB=20, nA∩B=10

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

A:

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: Did I prove p is not equal to 0 correctly? p is not equal to 0 by what?

A: You have proved correctly .   This can also be seen as If p= 0  Then 1/x = 0  and x= infinite or…

Q: If S = {a, b, c} with P(a) = 4P(b) = 3P(c), find P(a).

A:

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

A:

Q: If S = {a, b, c} with P(a) = 8P(b) = 2P(c), find P(a).

A:

Q: Consider the values a = 1, b = 1, e = 1 eb = 1, In(a) = 1, and In(b) = 1. Rank the following…

A:

Q: Suppose P(A) = 0.4 and P(B) and B, show that 0.1 ≤ P(An B) ≤ 0.4. = 0.7. With no other assumptions…

A: We have given thatP(A) = 0.4P(B) = 0.7We have to show that0.1 ≤ P(AB) ≤ 0.4

Q: Let R = Z36. Finda. N(<0>). b. N(<4>). c. N(<6>).

A: In the given problem, R = Z_36 represents the ring of integers modulo 36. The elements of R are the…

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

A:

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

A:

Q: 10 8 8. 6. 4. 4. 12 12 4. 4. C 8. 3 10 10 Which is similar to X? 5. 3.

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: Q. 5. Show that "-C, 1+"C, =" C, . n-1

A:

Q: Find the value of p: 1 2.9 = 1.2p + ¬p %3D 4

A: Solution:

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: 9. Let X Bin(4,.30), compute a. P(X=0) b. P(X= 1) C. P(X= 4)

A: Given that  Success of probability p=0.3 , q=1-p=0.7 Number of trials n=4 X~binomial (n,p)…

Q: . If n(A) = 30, n(B) = 40, and n(A ∪ B) = 45,find n(A ∩ B).

A:

Q: (d) The third quartile for X 提交答案| Tries 0/5 (e) the IQR for X 提交答案| Tries 0/5 (f) P(IX-216|> 41)

A: Given : Let X be a r.v X~N(216 , 18) Here ; μ=216 σ=18

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: Let P(C|D) = 0.2, P(D) = 0.3 and P(C|D) = 0.4, then C and D are Select one: a. disjoint b. not…

A:

Q: Given that P(A) = 0.38 and P(B)=0.36, find P(An B) if A and B are mutually exclusive. OA. 0.74 OB. 0…

A: Mutually exclusive event is the events are unique and there will be no  common elements between…

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) = 0.3, P(B) =0.6, and P (Aor B) =0.7 are A and B mutually exclusive?

A: Two events are said to be mutually exclusive when both can not occur simultaneously.  A and B are…

Q: 1. Find L-'[l/(p² + a?)²] by convolution.

A: Let 1p2+a22=1p2+a2p2+a2=1p2+a2p2+a2= FpGp      Then ft=gt=sinata

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: If RS = 32.5 and QS = 65.8, find QR. %3D R

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: 1. Show that (a) Sijij=3; (b) €ijkAjAk=0; (c) Sijdjk= Sik.

A:

Q: For C) Compute the coefficient of determination ( to 3 decimals)  ??

A: Given the data of production Volume and Total cost as shown belowProduction Volume(units)(X)Total…

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: Suppose that P ( A ) = 0.4,  P ( B ) = 0.5 and A , B are disjoint. Compute P ( A c ∪ B c ) .

A: From the provided information, P (A) = 0.4, P (B) = 0.5 The events A and B are disjoint.

Q: Assume that P ( A ) = P ( B ). Show that A = B

A: If possible let A≠B and there is an element x ∈ A and x ∉ B Then {x} ∈ P(A) , but {x} ∉ P(B)