A factory produces nails and packs them in boxes of 200. If the probability that a nail is substandard is 0.006. Find the probability that a box selected at random contains at most two nails which are substandard.

Question

A factory produces nails and packs them in boxes of 200. If the probability that a nail is substandard is 0.006.  Find the probability that a box selected at random contains at most two nails which are substandard.

Reiny · Answer

could be.. 0 substandard ----> C(200,0) (.006)^0 (.994)^200 = .... 1 substandard ----> C(200,1) (.006)(.994)^199 = .... 2 substandard ---> C(200,2) (.006)^2 (.994)^198 = .... add them up

Anonymous · Answer

0.6205

Anonymous · Answer

p(x=0) = 0.3001 p(x=1)=0.3623 p(x=2)=0.2176 p(x<3)=0.8800