You received a large batch of LEDs with dominant wavelength uniformly distributed between 622.5nm and 632.5 nm. Your application requires dominant wavelength of 628.0 +/- 0.5 nm. It takes you one minute to measure the output wavelength of an LED. (Due to manufacturer packaging, the die position is randomly distributed over the received shipment). a. What is the probability that any single LED has the required output? b. What is the expected time for you find the first suitable LED? c. You test 10 devices and none of them are suitable. How many more devices do you expect to test to find two suitable LEDs? d. What is the probability that the 7 th device tested will be the third suitable one? e. If the dominant wavelength of the received LEDs has a more realistic Gaussian distribution with µ = 628.5 nm and standard deviation of 1.0 nm. What is the probability that any single LED has the require output? f. (Using the case outlined in part e.) What is expected time to find the three LEDs with the desired output? g. (Using the case outlined in part e.) What is the standard deviation in the time to find the three LED
You received a large batch of LEDs with dominant wavelength uniformly distributed between
622.5nm and 632.5 nm. Your application requires dominant wavelength of 628.0 +/- 0.5 nm. It
takes you one minute to measure the output wavelength of an LED. (Due to manufacturer
packaging, the die position is randomly distributed over the received shipment).
a. What is the probability that any single LED has the required output?
b. What is the expected time for you find the first suitable LED?
c. You test 10 devices and none of them are suitable. How many more devices do you expect
to test to find two suitable LEDs?
d. What is the probability that the 7
th device tested will be the third suitable one?
e. If the dominant wavelength of the received LEDs has a more realistic Gaussian
distribution with µ = 628.5 nm and standard deviation of 1.0 nm. What is the probability that
any single LED has the require output?
f. (Using the case outlined in part e.) What is expected time to find the three LEDs with the
desired output?
g. (Using the case outlined in part e.) What is the standard deviation in the time to find the
three LED
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