Normal Approximation To Binomial

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Normal Approximation To Binomial

NORMAL APPROXIMATION TO BINOMIAL

  1. Suppose you have a normal distribution with a mean of 6 and a standard deviation of 1. What is the probability of getting a Z score of exactly 1.2? Use either the Area Under Normal Distribution Calculator or Z – table link to compute the corresponding probability – but be careful!!
  2. You decide to use the normal distribution to approximate the binomial distribution. You want to know the probability of getting exactly 6 tails out of 10 flips. Find the mean and standard deviation of the normal distribution, then compute Z score and use either the Area Under Normal Distribution Calculator or Z – table link to compute the corresponding probability.
  3. You decide to use the normal distribution to approximate the binomial distribution. You want to know the probability of getting from 7 to 13 heads out of 20 flips of a fair, two – sided coin. Find the mean and standard deviation of the normal distribution, then compute Z scores and use either the Area Under Normal Distribution Calculator or Z – table link to compute the corresponding area under the curve to determine cumulative probability.
  4. Is a normal distribution with the same mean and standard deviation as a binomial distribution a viable approximation to use if the binomial distribution’s number of trials n = 150 and its probability of success p = 0.01? Why or why not?

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