16.An optical scanning device used to measure the dimensions of boards has a 90% accuracy rate (ie, 90% of the boards are correctly measured). If we run 9 boards through the scanner, find the probability that...

a) ...7 of the boards will be measured accurately.

b) ...all of the boards will be measured accurately.

c) ...at least 7 of the boards will be measured accurately.

d) Use the Binomial Distribution Table to verify your results for Q 16 (c). Show that the answer that you obtained in the table corresponds with your mathematical solution.

e) What is the expected value and standard deviation of this distribution? Please interpret the meaning of the expected value.