Problem 1. (8 points) The length of rose stems follows a normal distribution with a mean length of 19.33 inches and a standard deviation of 3.577 inches. A flower shop sells roses as parts of wedding flowers, wedding bouquets, and corsages. Please use this information to answer the following questions and please use R ( not the z-table) for any calculations. a. What is the probability that a given rose stem will be shorter than 18.5 inches? Answer: Round to at least FOUR digits after the decimal if necessary. b. Suppose a rose is considered a 'long stem rose' if its stem length is longer than 23.8 inches. What is the probability that a given rose will be considered a long stem rose? Answer: Round to at least FOUR digits after the decimal if necessary. c. The flower shop has a rule that shortest 6% of roses are clipped and used as corsages. What is the maximum stem length (in inches) a rose can be and still qualify to be used as a corsage by the shop? Answer: inches. Round to at least FOUR digits after the decimal if necessary. d. Suppose the z-score (standardized score) of a rose stem length given as 1.03. Which of the following statements is a correct interpretation of the meaning of this value? O A. The length of this stem is 1.03 times longer than the average rose stem O B. The length of this stem is 1.03 standard deviations longer than the average rose stem O C. The length of this stem is 1.03 inches longer than the average rose stem OD. There is not enough information provided to interpret this value preview answers