The line width for semiconductor manufacturing is assumed

Solution 75E

Step1 of 4:

Let us consider a random variable X presents the linewidth for semiconductor manufacturing.

Here X is normally distributed with mean and standard deviation

Here our goal is:

a). We need to find the probability that a line width is greater than 0.62 micrometer.

b). We need to find the probability that a line width is between 0.47 and 0.63 micrometer.

c). We need to find the value that the linewidth of 90% of samples is below.

Step2 of 4:

a).

Consider,

Where, is obtained from standard normal table(area under normal curve).