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Mathematics, 01.12.2021 23:30 fionaaaa
You received a large batch of LEDs with dominant wavelength uniformly distributed between 626.5nm and 634.5 nm. Your application requires dominant wavelength of 630.0 /- 0.2 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).
Required:
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 9th device tested will be the fourth suitable one?
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