Question

An optical inspection system is used to distinguish among different part types. The probability of a correct classification of any part is 0.95. Suppose that three parts are inspected and that the classifications are independent. Let the random variable X denote the number of parts that are correctly classified. Determine the probability mass function of X. Round your answers to four decimal places (e.g. 98.7654).

Probability Mass Function of X
x f(x)
0
1
2
3

Answer 1

p(x=0)=0.000008

p(x=1)=0.00176

p(x=2)=0.0576

P(x=3)=0.941192

Explanation:

The probability of successfully classifying any given part is 0.98. There are 3 parts in total and the classifications are independent. The random variable is the number correctly classified parts out of the total 3.

{0,1,2,3,}