QUESTION: Suppose that 0.3% of bolts made by a machine are defective, the defectives occurring at random during production. If the bolts are packaged in boxes of 100, what is the Poisson approximation that a given box will contain a defectives? Suppose you buy 8 boxes of bolts. What is the distribution of the number of boxes with no defective bolts? What is the expected number of boxes with no defective bolts?

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A: X~Pois(lambda=8.9) We want to find P(X<2)= ?

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A: given data  n = 4 μ = 50σ = 8P(x¯≥60) = ?

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Q: 3. The number of defects in a manufacturing process follows a Poisson distribution with an average…

A: Approach to solving the question:Examples: Key references:

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A: