SOLUTION: binomial distribution A quality inspector has drawn a sample of 16 light bulbs from a recent production line. Supposed 20% of the bulbs in the lot are defective. What is the pr

Algebra ->  Probability-and-statistics -> SOLUTION: binomial distribution A quality inspector has drawn a sample of 16 light bulbs from a recent production line. Supposed 20% of the bulbs in the lot are defective. What is the pr      Log On


   

Question 852119: binomial distribution
A quality inspector has drawn a sample of 16 light bulbs from a recent production line. Supposed 20% of the bulbs in the lot are defective. What is the probability that exactly 6 bulbs from the sample are defective?
Found 2 solutions by ewatrrr, rothauserc:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Using TI: The syntax is binompdf(n, p, x-value).

P(x = 6) = binompdf(16,.20,6)

0r 

P (x = 6)= +%28.20%29%5E6%28.80%29%5E%2810%29

Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We are going to use the General Binomial Probability formula
P(k out of n) = n!/(k!(n-k)!) * p^k * (1-p)^(n-k)
p = .20
k = 6
n = 16
P(6 out of 16) = 16! /(6!(16-6)!) * .2^6 * (1-.2)^(16-6)
P(6 out of 16) = 8008 * 6.4e-5 * 0.1073741824
P(6 out of 16) = 0.0550 = 0.06