two questions available please answer both
answer both!!!
Ans:
a)Use binomial distribution with n=12 and p=0.05
P(x=r)=12Cr*0.05r*0.9512-r
r | P(r) |
0 | 0.5404 |
1 | 0.3413 |
2 | 0.0988 |
3 | 0.0173 |
4 | 0.0021 |
5 | 0.0002 |
6 | 0.0000 |
7 | 0.0000 |
8 | 0.0000 |
9 | 0.0000 |
10 | 0.0000 |
11 | 0.0000 |
12 | 0.0000 |
b)
Expected umber of defective syringes,mu=np=12*0.05=0.6
c)P(rejected)=P(x>=2)
P(accepted)=P(x<=1)
=P(x=0)+P(x=1)
=0.95^12+12C1*0.05*0.9511
=0.5403+0.3413
=0.8816
d)
standard deviation,sigma=sqrt(npq)=sqrt(12*0.05*0.95)=0.755
Proctuc thco piant will reject a boten Syringes if two or more cdefece singes srinojes taxen Frcm...