A process engineer has defined the control limits for this process as three standard deviations above and below the mean, meaning that if a lot of measurements suddenly appear outside these limits, the process is out of control. Ideally, these control limits are within the product specification limits. For this product, the specification limits are 0.260 μm and 0.340 μm. If a width does not fall between these values, the chip fails testing and is destroyed. What are the control limits for this process?

i think asking google will you get the answer to that question

ok then what happened.

you already gave the answer

step-by-step explanation:

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560