In a semiconductor manufacturing process, three wafers from a lot are tested. each wafer is classified as pass or fail. assume that the probability that a wafer passes the test is 0.9 and that wafers are independent. determine the probability mass function of the number of wafers from a lot that pass the test. round your answers to three decimal places

Step-by-step explanation:

Given that in a semiconductor manufacturing process, three wafers from a lot are tested. We find that each wafer in independent of the other, and there are only two outcomes.  

Hence X no of wafers that pass the test from the three selected is binomial with n = 3 and p = 0.9 q =0.1

Probability mass function would be

there are many solutions.

step-by-step explanation:

step 1: simplify both sides of the equation.

4x+6=4x^2+10x−4

step 2: subtract 4x^2+10x-4 from both sides.

4x+6−(4x^2+10x−4)=4x^2+10x−4−(4x^2+10x−4)

−4x^2−6x+10=0

step 3: factor left side of equation.

−2(2x+5)(x−1)=0

step 4: set factors equal to 0.

x=-5/2 or x=1