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A Very Large Gardening Business Grows Rose Bushes for Sale \ge

Question 32

Multiple Choice

A very large gardening business grows rose bushes for sale to garden stores around the world. The most popular colors are red, pink, and white. The business decides on 50% red roses, 30% pink, and 20% white. A gardener orders 10 rose bushes selected randomly from a huge field. Her primary interest is in pink roses. A good model for the number of bushes with pink roses is given by the binomial distribution. Probability calculations are quicker when using the Normal approximation to the binomial distribution. Which of the following is false?


A) The approximation requires np \ge 10 and n(1 - p) \ge 10.
B) The sample size here is too small to use the Normal approximation to the binomial.
C) The approximation requires np \ge 30.
D) The Normal approximation works better if the success probability p is close to p = 0.5.

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