A manufacturer of tablets receives its LED screens from three different suppliers, 70% from B1, 20% form B2 and 10% from B3. In other words, the probabilities that any one LED screen received by the plant comes from these three supplies are 0.7, 0.2, and 0,1. Also, 90% of the LED screens from B1, 85% of those from B2, and 60% of those from B3 perform according to specifications.(a) What its the probalility that randomly selected LED screen received by the plant performs according ti the specifications?(b) What is the probalility that a randomly selected LED screen is from B1 if the screen performs according to specifcations?

0.7326

Step-by-step explanation:

Given that a manufacturer of tablets receives its LED screens from three different suppliers,

                               B1                  B2               B3

                              70%               20%            10%

Accg to speci.        90%              85%            60%

Jt prob                    0.63              0.17             0.06

Probability for any random to meet specification =

Since B1 B2B3 are mutually exclusive and exhaustive we can use Bayes theorem

P(spec/B1) = Jt prob for B1/Total jt prob

=

answer: 48

just remember to use pemdas:

parentheses

expressions

multiplication

division

addition

subtraction