The length of rose stems follows a normal distribution with a mean length of 18.12 inches and a standard deviation of 3.253 inches. A flower shop sells roses as parts of wedding flowers, wedding bouquets, and corsages. Please use this information to answer the following questions.
A)What is the probability that a given rose stem will be shorter than 16.6 inches?
B)Suppose a rose is considered a 'long stem rose' if its stem length is longer than 21.7 inches. What is the probability that a given rose will be considered a long stem rose?
C)The flower shop has a rule that the shortest 8% of roses are clipped and used as corsages. What is the maximum stem length (in inches) that a rose can be and still qualify to be used as a corsage by the shop?
D)Suppose the z-score (standardized score) of a rose stem length is 0.64. Which of the following statements is a correct interpretation of the meaning of this value?
