Question

Sdution Givem An Shandom has ed and ohite ba that ale uin time . a ne moved Ome at the ith ball elemoved is ied The event thaSE 19 311 3 5 3 f(cu) - Q- 338 Solution Given Urn A has and blark bali 5 ahite black ball Unh B has 3 ohite and (2 a fai oin.Q-3, ii Given at batteny Yot k tet C event that attery sTyPe betay batty -C D TRe - D amd 6tife D batteni es 8 tyPe C. CansisHomework #3, EE3384, Summer 2019: Assigned: 06/12/2019 Due date: 06/14/2019 THE ASSIGNMENT (Chapter 3) Reading: Sections 3.12 of 3 3.24. Each of 2 balls is painted either black or gold and ored black with probability 1 and that these events are inde

3.5-total number of ways in which 4 balls can be selected out of 6 white and 9 black balls = 15P4 = 32760

Number of ways in which 4 balls can be selected where first 2 are white and last 2 black = 6P2*9P2 = 2160

Thus, required probability = 2160/32760 = 0.0659

3.16)

Let the event that baby survives delivery be denoted by B

and the event that C section is performed be denoted by C

P(B) = 0.98, P(C) = 0.15

P(B|C) = 0.96

Thus, P(C|B) = P(B|C)*P(C)/P(B)

= 0.96*0.15/0.98 = 0.14694

So P(C'|B) = 1 - P(C|B) = 0.85306

To find P(B|C') = P(C'|B)*P(B)/P(C')

= 0.85306*0.98/0.85

= 0.98353

3.19)

Percentage of male in original class =62

Thus, percentage of female in original class = 38

Percentage of original class who attended the party

= 0.48*38 + 0.37*62 = 41.18

Thus, percentage of women among those attending the party

= 0.48*38/41.18 * 100 = 44.29

(a) 44.29%

(b) 41.18%

These are questions and solutions ,MAY you please write down the answers either by hand or by typing it by laptop so I can submit it directly

I need it in 1 hour from now and thanks in advance =)

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Homework #3, EE3384, Summer 2019: Assigned: 06/12/2019 Due date: 06/14/2019 THE ASSIGNMENT (Chapter 3) Reading: Sections 3.1 3.4 Do Chapter 3 problems : 5, 16, 19, 24, 38,49 Do Chapter 3 self-test problems: 5, 11 3.5. An urn contains 6 white and 9 black balls. If 4 balls are to be randomly selected without replacement, what is the probability that the first 2 selected are white and the last 2 black? 3.16. Ninety-eight percent of all babies survive delivery However, 15 percent of all births involve Cesarean (C) sections, and when a C section is performed, the baby survives 96 percent of the time. If a ran domly chosen pregnant woman does not have a C section, what is the probability that her baby survives? 3.19. A total of 48 percent of the women and 37 percent of the men that took a certain "quit smoking" class remained nonsmokers for at least one year after completing the class. These people then attended a success party at the end of a year. If 62 percent of the original class was male, (a) what percentage of those attending the party were women? (b) what percentage of the original class attended the party?
2 of 3 3.24. Each of 2 balls is painted either black or gold and ored black with probability 1 and that these events are independent (a) one of the balls is painted gold). Compute the conditional probability that both halls are (b) Suppose now that the urn tips over and 1 ball falls out. It is painted gold. What is the prob- that both balls are gold in this case? Explain 3.38, Um has 5 white and 7 black balls. Urn B has 3 white and 12 black balls. We flip a fair coin. If selocted whers if theutm saile tn l from urn B is selected. Suppose that a white ball eced. What is the probability that the coin f can- 3.49. Prostate cancer is the most common type a test that measures the level of the prostate- specihc antigen (PSA) that is produced only by the tive of cancer, the test able. Indeed, the probability that a noncancerous notoriously unreli- imately 135, increasing to apnroximately 268 if the man does have cancer. If, on the basis of other reent cerain that a ale probability that a) the test indicated an elevated PSA level? e has the cancer given that tdid not indicate an elevated PSA level? Repeat the preceding calculation, this time assum- is a 30 nercent chance that the man as nrostate cancer. 3.5. An um has r red and w white balls that are ran- the event that the th ball removed is red Find (a) P(R) (b) P(RsR) (c) P(RRs) 3.11. A type C battery is in working condition with proo- ing condition with probability domly chosen from a bin consisting of 8 type C and A battery is ran- a What is the probability that the battery works? (b) Given that the btery oes w battery?
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3-5) bas Ted cohite balls that are An ard a time Let Ri be the Yandenly sehnded ene at ie red Find tat S lemeved exent a) P(R() To tind Here the A th ball s Yed the remaining - balls Yandomly drawn ave There love the vequind frobabtlity P(Rs JR) TW-1P/W/B) P(B) PCB) P(HIB) P(B)+P/wIA)P(A) tHere P (A)-1/2 P(B) P/x J8)-31 15 115 P(6) = 512 5/24 03243 P(B) Q-3 1) cerking Condba Hery of Type-C Type-D batery D = type D ty pe c and G ba tterieg Total Here P(w/D) 4 P(N/C)-0 PCo)-/eH6h4 Now P(D)- 6/+C G35 An Contains G white ancl q black balls Um Iamly elected nithout is the Probab? I ity If 4 balls be to are replacement whatT performed be denoted by C. C secton P(B) 0.98, P(C) - 0.15 96 rclB) - P(Ble) P)e() Thus o-15 16:95 =0.14694 fo Plele) 1- Pb) hot Percertage dthe egind chus allended pasly Percentage ot male ontginal clas 62 Thutpercentage d female ofiginal class P

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