A computer consulting firm presently has bids out cn three pro ects. Let A {awar

Question

A computer consulting firm presently has bids out cn three pro ects. Let A {awarded project i for-1, 2, 3 and suppose that At = u 22, A2)-0.25 p As) probabilities ive above to compute the tollowing probabi ties, and explain in words the meaning of each one. Round your answers to tour decimal places. 0.29, f A1 NA2 = U 09, HA NA3)-u.oe jrA2 n 3 = 0.05 , At n A2 n A3 = U 02. Use the Fxplain this prohahillty in words. tf the firm is awardad pmlest l , this ls the chanca thay will alsn he awarded projart 2 is warded both project1 and project 2 This is tha pohability that the firm inwardad alther proje t i r project This is the probability that the fi f the fir is awarded project 2, this is the chance they will alsu be awarded project 1. Explain this probability in words This is the probability that the firm is awarded at least one of the projects. This is tha probability that thc firm is awarded projects 1, 2, and 3. 1r the firm i8 awarded proiects 2 and 3, this is the chance they will also be awarded project 1. If the firm is awarded Project 1, this is the chance they will also be awarded projects 2 and 3. O Explain this prohability in words. This is tha prahability that the firm is awarded projects 1, 2, and 3. 1f the firm i, awarded at least nna af projects 2 and 3, thls tha chance they will also he awandad project 1. If the firm is awarded project 1, this is the chance Lhey will also be awarded dl least one othe otler Lwu projects. Thls is the probability that the firm O award d at least ana nf the projects. Explain this probability in words 1r the firm is awarded at least two or the projects, this is the chance that they wil be awarded al three projects. This is th probability that the firm is warded at least on of the projects If the firm is awarded at least one of the projects, this is the chancc that they wll be awarded all three projects. This is the probability that the firm is awarded prolects 1, 2, and 3. Need Help?HadTaik to Tutor

Explanation / Answer

a)P(A2|A1)=P(A1nA2)/P(A1)=0.09/0.22=9/22=0.4091

if the firm is awarded project I ; this is the chance they will also be awarded project 2

b)P(A2nA3|A1)=P(A1nA2nA3)/P(A1)=0.02/0.22=0.0909

if the firm is awarded project I ; this is the chance they will also be awarded project 2 and 3.

c)P(A2UA3|A1) =(P(A2nA1)UP(A3nA1))/P(A1)=(0.09+0.08-0.02)/0.22=0.6818

if the firm is awarded project I ; this is the chance they will also be awarded at least one of the other two

d)here P(A1UA2UA3)=0.22+0.25+0.29-0.09-0.08-0.05+0.02=0.56

therefore P(A1nA2nA3|A1UA2AUA3) =0.02/0.56=0.0357

if the firm is awarded at least one of the projects; this is the chance they wll be awarded all of the projects

please revert for any clarification

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.