Problem 6. The probablity that a student at a local high school fails the screen

Question

Problem 6. The probablity that a student at a local high school fails the screening test for scoliosis is known to be 0.004. Of the next 2000 students screened, find the probability that fewer (etrictly less) than 2 fail the test. Use Poisson approximation to the Binomial. Problem 7. Suppose that the discrete random variable X is binomially dis- tributed with the probability of a success p and the number of independent Bernoulli trials n = 48. Use the normal approxination to the binomial and the continuity correction to estimate the following probability

Explanation / Answer

Problem 6. The probablity that a student at a local high school fails the screening test for scoliosis is known to be 0.004. Of the next 2000 students screened, find the probability that fewer (etrictly less) than 2 fail the test. Use Poisson approximation to the Binomial. Problem 7. Suppose that the discrete random variable X is binomially dis- tributed with the probability of a success p and the number of independent Bernoulli trials n = 48. Use the normal approxination to the binomial and the continuity correction to estimate the following probability

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