Question

An assembly consists of three mechanical components. Suppose that the probabilities that the first, second, and third components meet specifications are 0.95, 0.98, and 0.99, respectively. Assume that the components are independent. Determine the probability mass function of the number of components in the assembly that meet specifications.

Answer 1

Answer:0.9216

Step-by-step explanation:

Given

probability that First component meet specification is 0.95

probability that second component meet specification is 0.98

probability that third component meet specification is 0.99

If all the components work together then

Probability that it meets specification is

$P=\left ( 0.95\right )\left ( 0.98\right )\left ( 0.99\right )$

P=0.9216

Therefore there is 92.16 % chances that it will meet specification.