A manufacturing company regularly conducts quality control checks at specified periods on the products it manufactures. Historically, the failure rate for LED light bulbs that the company manufactures is 5%. Suppose a random sample of 10 LED light bulbs is selected. What is the probability that
a. none of the LED light bulbs are defective?
b. exactly one of the LED light bulbs is defective?
c. two or fewer of the LED light bulbs are defective?
d. three or more of the LED light bulbs are defective?
Q2) Assume that the number of new visitors to a website in one minute is distributed as a Poisson variable. The mean number of new visitors to the website is 4.0 per minute. What is the probability that in any given minute
a. zero new visitors will arrive at the website?
b. exactly one new visitor will arrive at the website?
c. two or more new visitors will arrive at the website?
d. fewer than three new visitors will arrive at the website?