Bonus Discussion Question:

The local nursery is waiting for its spring annuals to be delivered, and 20% of the plants ordered are petunias.If the first truck contains 120 plants packed at random, what is the probability that 30 or fewer are petunias?

1. Before answering the question, verify that the three conditions of the Central Limit Theorem are met.

2. The Central Limit Theorem states that if the conditions hold, the sampling distribution foris approximately normal. Express your answer in decimal form.

i.What is the mean of this distribution: ________

ii.What is the standard error: ________________________(Round to four decimal places.)

3. What is the probability that 30 or fewer are petunias?(Use the Normal Tables to answer this question)