A production company in St. Louis is investigating their supplies of sheet metal. A certain kind of sheet metal has, on average, 6 defects per 16 square feet. Assuming a Poisson distribution, find the probability that a 22 square foot metal sheet has at least 10 defects. Answer the following questions. Showing work is REQUIRED. 1. What is the value for lambda for this problem? Write your answer as a fraction. A= 2. What is the value for t for this problem? t = 3. What is the probability that you should calculate? OP(X > 10) OP(X ≥ 10) OP(X < 10) OP(X ≤ 10) 4. Find the probability that a 22 square foot metal sheet has at least 10 defects. Round your answer to four decimals. In your calculation, use an exact value for the parameter.

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