Question

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 8 %. Suppose a random sample of 10 LED light bulbs is selected. Complete parts (a) through (d) below

What is the probability that three or more of the LED light bulbs are defective?

The probability that three or more of the LED light bulbs are defective is?

Answer 1

Consider the random variable X which represent the number of bulbs. The random variable X follows binomial distribution

with P = 8% = 0.08, and n = 10

What is the probability that three or more of the LED light bulbs are defective ?

i.e. find P(X 3)

The probability mass function of the binomial distribution is as follows:

For X = 0

P(X = 0) = 0.4344

For X = 1

P(X = 1) = 0.3777

For X = 2

P(X = 2) = 0.1478

Therefore,