Unformatted text preview: ) = ? T P ( X > 44.5 ) = P > 6 40 5 . 44 Z = P ( Z > 0.75 ) = 1 – Φ ( 0.75 ) = 0.2266 . ( Binomial distribution, n = 400, p = 0.10, P ( X ≥ 45 ) = 0.22367. ) 2. The number of typos made by a student follows Poisson distribution with the rate of 1.5 typos per page. Find the probability that there would be at most 40 typos in a 24page paper. (Use Normal approximation.) Need P(X ≤ 40) = ? o μ = λ = 24 ⋅ 1.5 = 36. σ = λ = 6. t 0.5 correction: want 40, do not want 41. P(X < 40.5) = ? T P(X < 40.5) = P < 6 36 5 . 40 Z = P(Z < 0.75) = Φ (0.75) = 0.7734 . ( Poisson distribution, λ = 36, P(X ≤ 40) = 0.7771. )...
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 Spring '08
 Kim
 Statistics, Normal Distribution, Poisson Distribution, Probability theory, Binomial distribution, Alex, Normal approximation

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