The probability of a machine producing a defective product is .08. Find the probability that, in a run of 200 products, there are exactly 12 defective products

Answer 1

prob (defect) = .08
prob (not defect) = .92

prob(12 defective of 200)
= C(200,12)(.08)^12 (.92)^188
= (my calculator can't handle the calculations)

Answer 2

Suppose a flashlight manufacturer determined that 2 out of every 50 flashlights are defective. What is the probability that an inspector finds that the first defective flashlight is the 5th one tested? The 12th one tested?