discrete probability distributions
There are 37 different processors on the motherboard of acontroller. 6 of the processors are faulty. It is known that thereare one or more faults on the motherboard. In an attempt to locatethe error, 7 random processors are selected for testing.
tasks
a) Determine the expected number of defective processors. Roundyour 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 defectiveprocessors. Round your answer to 2 decimal places.
d) What is the probability that there are at least 2 faultyprocessors? Round your answer to 4 decimal places.
e) What is the probability that there are exactly 1 faultyprocessors if there are a maximum of 2 faultyprocessors?  Round your answer to 4 decimal places.