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When producing a special bulletproof glass, dots (defects) may occur in the glass. The average number...

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Statistics

When producing a special bulletproof glass, dots(defects) may occur in the glass. The average number of dots persquare centimeter is 0.2 The number of dots per unit area ispoisson distributed.

please show calculations

tasks:

a) Determine the expected number of dots per squarecentimeter.  Round your answer to 2 decimal places.

b) Determine the standard deviation of the number of dots persquare centimeter. Round your answer to 2 decimal places.

c) What is the probability that there is a maximum of 1 dot (s)per square centimeter? Round your answer to 4 decimal places

d) What is the probability that there are exactly 2 dot (s) ifthere is at least 1 dot (s) on one square centimeter? Round youranswer to 4 decimal places

e) What is the probability that there are a maximum of 4 dot (s)on 10 square centimeters?  Round your answer to 4 decimalplaces

f)  What is the probability that there are exactly 7dots if there are at least 4 dots (10 squarecentimeters)?  Round your answer to 4 decimal places

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