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:

Question

Quizplus · Accepted Answer

The scenario described fits the criteria for a binomial distribution: there are a fixed number of trials (selecting 10 rose bushes), each trial has only two possible outcomes (pink or not pink), the trials are independent, and the probability of success (selecting a pink rose) is constant. Therefore, the best model for the number of bushes with pink roses is the binomial distribution.

A Very Large Gardening Business Grows Rose Bushes for Sale