SOLUTION: 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 t

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Question 1152785: 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.
a. What is the probability that none of the LED light bulbs are​ defective?

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

This is a binomial problem. Each selection is independent of one another, and a bulb is either defective or it is not defective.

p = 0.08 is the probability of being defective
1-p = 1-0.08 = 0.92 is the probability of not being defective
n = 10 is the sample size

Use the Binomial PDF function

x is a non-negative whole number representing the number of defective bulbs

Plug in n = 10 and p = 0.08






Now plug in x = 0, which will help us find the probability of x = 0 bulbs being defective
















Use your calculator. This value is approximate.

When rounded to 3 decimal places, the approximate answer is 0.434

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