A certain type of light bulb has an output known to be normally distributed with a mean of 2500 lumens and a standard deviation of 75 lumens. If the light output is below a certain lower limit then that bulb is considered defective. a) Determine a lower specification limit such that only 5% of the manufactured bulbs will be considered defective. b) What is the probability that randomly selected bulb will have a light intensity between 2400 and 2600 lumens?
Continuous Probability Distributions
Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.
Normal Distribution
Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!
9) A certain type of light bulb has an output known to be
a) Determine a lower specification limit such that only 5% of the manufactured bulbs will be considered defective.
b) What is the probability that randomly selected bulb will have a light intensity between 2400 and 2600 lumens?
Trending now
This is a popular solution!
Step by step
Solved in 2 steps with 2 images
