Question

(8 points; 4, 4) A recent college graduate is interviewing for jobs. Assume the probability of getting a job offer after an interview is 0.3. 2. What is the probability that the college graduate will have to go on 6 interviews b they get a job offer? i. What is the probability that the college graduate will have to go on 10 interviey before they get the fourth job offer? ii. i6

Answer 1

probabilihy of getting job opfer ofter an intmipw is o.3. i.e p:0:3 Here x: No. of job offer. )=) we huco o Rind PC College gruduate will honce to go on6inlervew thee bochord get ajob offerr) E Here, x-o, n6. =) P( x=) that Imow XN Binomicu (nip) 2:011,2c'. O: W Here XN Binomial C6, 0.3) p(a:1) = 6 :0:3025 =7 The probabiliny that the college graduati will hance h go on 6 ineriiew befose they aph job Offer is o•3025 we halce ho find I( College oroduate will hap to go on lo interitew bofure they cet sth job offerr) a i-e n:10, X:P,213,4

pes) - PCx:0) + PC 2e =1) + prxe:2)+ pcæ: 3) +pme< 4) ro sco1+1°c, co sy co¬)9 + 10c co-3 ca-728°r03°c t. :,)0-أرد Co (° = ) (1) (0.02824) +00) (0:3) (0.04035) + (45) (0:0g)(0.05764) 6) + (120) Co.027)Co.o8223)+C210) : 0:02824 +0.1210 + 0 2334+ 0.26 640.2001 0- ४49।५ =) probobiliny that the College grrodate will hace 10 interuiew berose the qet the Fourlh to go on job offer is o84914
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