In: Statistics and Probability
5. A local florist claims that 85% of all flowers sold for Valentine’s Day are roses. Consider a simple random sample of 150 orders for Valentine’s Day flowers.
(a) (3 points) What’s the probability that the proportion of roses in this sample is more than 90%? Round your answer to four (4) decimal places.
(b) (3 points) What’s the probability that the proportion of roses in this sample is at most 78%? Round your answer to four (4) decimal places.
(c) (3 points) What’s the probability that the proportion of roses in this sample differs from the population proportion by more than 15%? Round your answer to four (4) decimal places.