Problem 81E

Twenty-two percent of all liquid crystal displays (LCDs) are manufactured by Samsung. What is the probability that in a collection of three independent LCD purchases, at least one is a Samsung?

Answer:

Step 1 of 1:

(a)

22% of all LCDs are manufactured by Samsung.

We are asked to find the probability that in a collection of three independent LCD purchases at least one is a Samsung.

Let denote the event that the LCD purchases is Samsung.

We need to find

Using the independence rule of the probability.

The probability the all three independent LCD purchases is Samsung is,

The probability that at least one is a Samsung is

Hence the probability that in a collection of three independent LCD purchases at least one is a Samsung is