SOLUTION: For the quality control purposes, suppose that a sample of 1600 tires of the same type is obtained at random from an ongoing production process in which 8% of all such tires produ
Algebra ->
Probability-and-statistics
-> SOLUTION: For the quality control purposes, suppose that a sample of 1600 tires of the same type is obtained at random from an ongoing production process in which 8% of all such tires produ
Log On
Question 1099643: For the quality control purposes, suppose that a sample of 1600 tires of the same type is obtained at random from an ongoing production process in which 8% of all such tires produced are defective. What is the probability that in such a sample not more than 150 tires will be defective? Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website! mean=np=1600*0.08=128
variance is np(1-p)=128*0.92=117.76
sd is sqrt (v)=10.85
not more than 150 is 150.5 with continuity correction factor
z=(150.5-128)/10.85
z=22.5/10.85
z is less than or equal to +1.08
0.8599 is the probability.
Makes intuitive sense since expected value is 128 and problem asks for probability under 150.
