Question

A manufacturing company regularly conducts quality control checks at speafied periods on the products it manufactures. Historically, the failure rate for LED ight bulbs that the company manufactures is 17%. Suppose a random sample of 10 LED light bulbs is selected. Complete parts (a) through (d) below. a. What is the probability that none of the LED ight bulbs are defective? The probability that none of the LED light bulbs are defective is ?. (Type an integer or a decimal. Round to four decimal places as needed.)

b. What is the probability that exactly one of the LED light bulbs is defective?

c. What is the probability that three or fewer of the LED light bulbs are defective?

d. What is the probability that six or more of the LED light bulbs are defective?

Answer 1

solution:-
given that n = 10 , p = 0.17
a. p(x = 0) = 0.1552
b.p(x = 1) = 0.3178
c. p(x ? 3) = 0.9259
d.p(x ? 6) = 0.0027

by formula p(X = x) = ⁿc_r * p^r * q ^{n - r}