A manufacturing firm has three machines and producing and of the total output respectively

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

A manufacturing firm has three machines

M_1,M_2

and

M_3

producing

40\%,35\%

and

25\%

of the total output respectively. The probabilities that a product from these machines is of top quality are

0.95, 0.9

and

0.85

respectively. Determine the probability that a randomly selected product is of top quality.