Please solve 6.2.39 Accoring to a suney, 64% of murders commited last year were
ID: 3313199 • Letter: P
Question
Please solve 6.2.39 Accoring to a suney, 64% of murders commited last year were deared tyarrest or excetonal means Fr y murders comited last year are ran ryseeded, and he number derndbyarrestare ce for (a) Find the probability hat exacly 39 of the murders were cleared b) Find the probabilty that between 36 and 38 of the murders, indlusive, were cleared (e) Would it be unusual if tewer than 19 of the munders were cleared? Why or why not? eam is e orded te) The probabity that exactly 39 ofth maders were cleared is Round to four decimal places as needed)Explanation / Answer
Ans:
Binomial distribution with n=50,p=0.64
P(x=k)=50Ck*0.64k*(1-0.64)n-k
a)
P(x=39)=50C39*0.6439*0.3611=0.0136
b)
P(36<=x<=38)=P(x=36)+P(x=37)+P(x=38)=0.0607+0.0408+0.0248=0.1263
c)
P(x<19)=P(x<=18)=0.0001
As,P(x<19)=0.0001<0.05,so it is unusual.
x P(x) x P(x) 0 0.0000 21 0.0008 1 0.0000 22 0.0018 2 0.0000 23 0.0039 3 0.0000 24 0.0079 4 0.0000 25 0.0146 5 0.0000 26 0.0249 6 0.0000 27 0.0394 7 0.0000 28 0.0575 8 0.0000 29 0.0776 9 0.0000 30 0.0965 10 0.0000 31 0.1107 11 0.0000 32 0.1169 12 0.0000 33 0.1133 13 0.0000 34 0.1008 14 0.0000 35 0.0819 15 0.0000 36 0.0607 16 0.0000 37 0.0408 17 0.0000 38 0.0248 18 0.0000 39 0.0136 19 0.0001 40 0.0066 20 0.0003