Number 3 Suppose that PKA) 0.3, P(B) 0.4. (a) Find PIA UBC) (b) Find P(An (e) Fi

Question

Number 3

Suppose that PKA) 0.3, P(B) 0.4. (a) Find PIA UBC) (b) Find P(An (e) Find PAC n (A u B)) 3. Let A aud B be two evouts defined ou a ple space s such that PKAnB aAT, PKAen B) 0.29, and PAUB 0.15 Find the prolability that at least one of the two events oceurs Eiven that at st one oecur 4. Two sections of a seuiur probability eoume are being taught From what she has lioanl about the two inst listed. Fracesea estimates hat her ehauees of parsing X aud IL61 if -lie eetk Professor Y. The mer into which she is put is determined Iw e registrar, Suppose t her chiuees of being as to Profisaar X are 0,35 Filtee wee ks later we learn that Fr What is the probalility was eunulle in Professor Y etiou? s. Three luws N, alal Z laasketball in rder HX goer first. Y seeoaxl, sand 2 third) They took turus shouting autl stop when a ba kee Inade. 1f they liwe NAuae prolial ility of Inakius a luslart on tlarow. wlad the probalility that player Z winas? A sive tri

Explanation / Answer

3.

Here,

P(at least one|at most 1) = P(A only or B only) / P(A only or B only or none)

= (0.29 + 0.47) / (0.29 + 0.47 + 0.15)

= 0.835164835 [ANSWER]

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