p(a) = .59
p(b) = .30
p(anb) =.21
find p(a'ub') and find p(a'nb')
1 Let A and B be independent events with P(A) and P(B) = FICE Find P(ANB) and P(AUB). 8 P(ANB) = P(AUB) =
10/10 will rate. Thanks in advance!
If A and B are mutually exclusive, P(A) 0.3, and P(B) 047, find (c) P(AU B); (e) P(AnB); () P(A'nB). (d) P(An B);
8. Let P(A) P(B) - 1/3 and P(AnB) 1/10. Find the following: (b) P(AUB') () P(Bn A (d) PA UB)
10.00 polnts Exercise 4-21 Algo Let P(A)-0.41, P(B) 0.36, and P(ANB) 0.22 a. Are A and B independent events? O Yes because PAIB) PIA Yes because FIA n B)メ。 No because PIA | B) PIA) No because PA n B) #0 b. Are A and B mutually exclusive events? O Yes because PIAI B) PIA) Yes because RA n B) # 0 O No because PIA | B) PIA) @ No because P(A n Β) # O c. What is...
22. SupposeRA 70,p6-60 and P(AUB),75. Find P(AnB)
(1) If A and B are two events suchthat PA)1.P(B) -and P(AnB) -.Determine the following: 3 i) P(AU B) v) PCA'U B) ii) P(A'n B) vi) P(A'- B) iv) P(AnB') viii) P(A'-B')
Problem 3. Show the formula P((An B)U(A n B))- P(A) +P(B)-2P(AnB), which givgs the probability that exactly one of the events A and B will occur. [Compare with the formula P(AU B) P(A) P(B) - P(AnB), which gives the probability that at least one of the events A and B will occur.]
2) Suppose A and B are independent events, then() is incorrect. PCAIB) P(A) O P(AnB) P(A)P(B) P(AUB)-P(A)+P(B) 0:(AIB) = P(A)
Show proof of P(AUBUC) - P(A)+P(B) +PCC) - P(ANB) -P(BnC)-Planc) + P(AMBAC) use D to replace a use thm. P(AUB) = P(A)*P(B)- P(ANB)
2.9 a) Suppose that P(AU B) 0.8 and P(A'UB) 0.7. Find P(B). Hint: Fill out a Venn diagram.] b) Suppose that P(C) = 0.1 and P(D) 0.3. What are the possible values for P(C'D)?