Total number of working days, n(S) = 200
(i) Number of days in which no part is defective, n(E1)=50
∴ Probability of no defective part is, 50200=0.25
(ii) Number of days in which atleast one part is defective,
n(E2)=32+22+18+12+12+10+10+10+8+6+6+2+2=150
∴ Probability that atleast one defective part =n(E2)n(S)=150200=34=0.75
Hence, the probability of least one defective part is 0.75.
(iii) Number of days in which not more than 5 parts aredefective,
n(E3)=50+32+22+18+12+12=146
∴ Probability of not more than 5defective parts =n(E3)n(S)=146200=0.73
(iv) Number of days in which not more than 13defective parts,
n(E4)=0
∴ Probability for more than 13 defective parts =n(E4)n(S)=0200=0
Hence, the probability of more than 13 defective parts is 0.