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

=

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be