In: Statistics and Probability
discrete probability distributions
There are 37 different processors on the motherboard of a controller. 6 of the processors are faulty. It is known that there are one or more faults on the motherboard. In an attempt to locate the error, 7 random processors are selected for testing.
tasks
a) Determine the expected number of defective processors. Round your answer to 2 decimal places.
b) Determine the variance of the number of defective processors. Round your answer to 4 decimal places.
c) Determine the standard deviation of the number of defective processors. Round your answer to 2 decimal places.
d) What is the probability that there are at least 2 faulty processors? Round your answer to 4 decimal places.
e) What is the probability that there are exactly 1 faulty processors if there are a maximum of 2 faulty processors? Round your answer to 4 decimal places.