Use the Normal Approximation to the Binomial Distributions applet for Exercise 29.

Question 6.422

29. Select . The rectangles represent the binomial probabilities and the area under the curve represents the normal probabilities.

  1. For and , is there a tight fit between the rectangles and the curve?
  2. What does this mean for whether the normal approximation should be used for a binomial distribution with and ?
  3. Verify whether the conditions are met for applying the normal approximation.

6.6.29

(a) No (b) The normal distribution is not a good approximation to the binomial distribution, so not appropriate. (c) , so the conditions are not met.