Can you tell me how to do this stats prblem? DUE SOON thanks so much!!?

5. Suppose that for a given electronics manufacturing process you have accurate historical data that tells you the probability of any particular circuit board not functioning properly is 0.07. If you sample 200 parts from this process (assuming that the boards are independent of one another), answer the following questions:





a) What is the probability that you will have less than 10 defectives in your sample of size 200?





b) What is the probability that you will have no defectives in your sample of size 200?Can you tell me how to do this stats prblem? DUE SOON thanks so much!!?
Probability of board being defective, P(A) = 0.07;


Probability of board being not defective, P(B) = 1 - 0.07 = 0.93.


(a) Less than 10 defective boards can be found in the following ways:-


No defective board, P(A0); one defective board, P(A1); similarly P(A2), P(A3)....upto P(A9).


By expanding the binomial terms P(A) and P(B) for the expansion [P(A) + P(B)]^200 you can easily have the probability


Sigma P(A)-----%26gt; A = 0 to 9.





(b) Probability = {200C200}{P(B)}^200; the last term of the expansion discussed earlier.