Question

In: Statistics and Probability

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

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

please show calculations

tasks:

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

b) Determine the standard deviation of the number of dots per square 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) if there is at least 1 dot (s) on one square centimeter? Round your answer 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 decimal places

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

Solutions

Expert Solution

orchestra answered 11 months ago
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