(8) X and Y are independent events. P(X)=0.3; P(Y)=0.4. Find (a) P(X and Y) (b) P(X | Y) (c) P(Y | X)
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(8) X and Y are independent
(a) P(X and Y)
(b) P(X | Y)
(c) P(Y | X)
(d) P(X or Y)
(9) Repeat the previous problem if X and Y are mutually exclusive.
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- (d) If we define the events A and B by: A = {(X,Y):2(Y – X) > Y + X} Determine P(ĀN B).(8) X and Y are independent events. P(X)=0.3; P(Y)=0.4. Find (d) P(X or Y) (9) Repeat the previous problem if X and Y are mutually exclusive.A student goes to the library. Let events B=B= the student checks out a book and D=D= the student check out a DVD. Suppose that P(B)=0.46PB=0.46, P(D)=0.45PD=0.45 and P(D|B)=0.40PD|B=0.40. Round each answer to four decimal places. (a) Find P(B′)PB'.Enter the exact answer.P(B′)=PB'= (b) Find P(DANDB)PDANDB.Enter the exact answer.P(DANDB)=PDANDB= (c) Find P(B|D)PB|D.Round your answer to three decimal places.P(B|D)=PB|D= (d) Find P(DANDB′)PDANDB'.Enter the exact answer.P(DANDB′)=PDANDB'= (e) Find P(D∣∣B′)PD|B'.Enter the exact answer.P(D∣∣B′)=PD|B'=
- Q2. Two events A and B are said to be dependent if and only if: (A) P(A) increases along with P(B) (B) P(A) increases as P(B) decreases (C) event A is affected or changed by the occurrence of event B (D) P(A) = P(B) (E) P(ANB) = 0If P(x)=0, this means that A. The event X might occur. B. The event X will occur C. The event X will never occurP(A) = 0.4 P(B) = 0.5) P(AUB) = 0.8 Is A and B independent?
- J and K are independent events. P(J | K) = 0.6. Find P(J).|J and K are independent events. P(J|K) = 0.6. Find P(J).A student goes to the library. Let events B= the student checks out a book and D= the student check out a DVD. Suppose that P(B)=0.54 P(D)=0.45 and P(D|B)=0.50 Round each answer to four decimal places. (a) Find P(B′)Enter the exact answer.P(B′)= (b) Find P(D AND B)Enter the exact answer.P(D AND B)= (c) Find P(B|D).Round your answer to three decimal places.P(B|D)= (d) Find P(D AND B′)Enter the exact answer.P(D AND B′)= (e) Find P(D∣B)Enter the exact answer.P(D∣B′)