Question

Name & Family Name: Number Signature: [30p] 1. The sample space of a random experiment is given by S = {a,b,c,d,e.f.g.) and let B denote the event and B = {d,e,f.g) and A the event and B\A=t.g) and An B' = {a,b,c}. Pr (A) = 0.6, Pr(B) = 0.5, Pr(h) = 0.4 are known. Determine the following probabilities: (a) Pr(AUB); (b) Pr(A\B). " " set difference operator 135ol 2. A waveform voltage sienal Soncifu and nl

Answer 1

Griver that sha.b.code.ligh} " B ddre, fogf PLA) = 0 PCB) ooh poh 04 BIA = BE 8. Are dr.az we have given that PCA? OG PR2 = tio of elements in se Total no o element No of elements PAT. 0 Go Ýk 2 5 | e) enti Now , Also have B. is also given = { d. e, f, g } B-Ameons all elements of Bcohichore not in A we consider that A = of ab.c.die } A = $.9.11 P(B- Now Brad fig} 2 elements PCBnA= 25 2 4 3 elements Also An B' = da.bic} PLANB = 3 i) P (AUB) = PCA + PLB) - PCANB) Now, PLANB PUB) - PCA) PLANB) = P(BOAT PEAB = P(B) - P(AMB) 0.25 PLAUB) = 0.6 +0.5 0.25 = 0.85 D. 25 02 PCAB) = PCA-13) - PCANB') - PCAD - PLANB) 0.6 - 0.25 - 0.35