Let X equal the number of widgets that are defective when 3 widgets are randomly chosen and observed. The possible values for X are {0,1,2,3}.
The probability mass function for X:
x P(X = x) or f(x) 0 0.550 1 0.250 2 0.175 3 0.025
Check the sum of the probabilities 1.
What is the probability of 1 defective widget?
What is the probability of more than 1 defective widget?