In: Statistics and Probability
discrete probability distributions
Pernilles Super'Chip is a processor for super-fast image analysis. It is put into production in a factory. In this factory it turns out that the probability of a Super'Chip being defective is 2%. Consider the next 17 independent Super'Chips being produced.
tasks
a) Determine the expected number of defective Super'Chip. (Round your answer to 2 decimal places. )
b) Determine the variance of the number of defective Super'Chip (Round your answer to 4 decimal places. )
c) Determine the standard deviation of the number of defective Super'Chip. (Round your answer to 2 decimal places. )
d) What is the probability that there is a maximum of 2 defective Super'Chip? (Round your answer to 4 decimal places. )
e) What is the probability that there are exactly 8 Super'Chip if there are at least 2 defective Super'Chip? (Round your answer to 4 decimal places. )
The solution is done showing all steps with calculations and required explanations. Hope you can understand.