A box of 18 parts contains 2 broken parts. If you pick 3 parts at random from the box what is the probabilty that exactly 1 broken part is found
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!
A box of 18 parts contains 2 broken parts. If you pick 3 parts at random from the box what is the probabilty that exactly 1 broken part is found?
Given data:
Total number of parts in a box, N = 18.
Number of broken parts, x = 2.
Let p be the probability of success that a randomly selected part is a broken one, is:
Number of parts selected in the sample, n = 3.
Let X be a random variable following Binomial distribution which has the probability mass function as:
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