SOLUTION: a quality control engineer inspects a random sample of three batteries from a lot of 30 cars batteries, which are ready to be shipped . if the such a lot contains ten batteries wit

Algebra ->  Probability-and-statistics -> SOLUTION: a quality control engineer inspects a random sample of three batteries from a lot of 30 cars batteries, which are ready to be shipped . if the such a lot contains ten batteries wit      Log On


   



Question 1197313: a quality control engineer inspects a random sample of three batteries from a lot of 30 cars batteries, which are ready to be shipped . if the such a lot contains ten batteries with slight defects, what then is the probability that the inspector's sample contains .
1) none of the batteries with slight defects?
2)at least one of the batteries with slight defects?

Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi  
Binomial Probability:  n = 30, p = 3/30 = .1
what then is the probability that the inspector's sample contains:
Using TI or similarly an inexpensive calculator like an Casio fx-115 ES plus
P( x = 0) = .0424
0r
P+%28x%29=+highlight_green%28nCx%29%28p%5Ex%29%28q%29%5E%28n-x%29+ 
 P(0) = 1(.1^0)(.9^30) = .0424

P(x  ≥ 1) = 1 - P(x = 0) = 1 -.0424 = .9576
Wish You the Best in your Studies.