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?

The answer explains the probability of rose stem lengths, including being shorter or longer than certain lengths, determining maximum length for corsages, and interpreting z-scores.

A) To find the probability that a rose stem will be shorter than 16.6 inches, we calculate the z-score and use the standard normal distribution table.

B) For the probability of a rose being a 'long stem rose' (>21.7 inches), we find the z-score and use the standard normal distribution table.

C) To determine the maximum stem length for corsages, we find the z-score corresponding to the 8th percentile.

D) A z-score of 0.64 means the rose stem length is 0.64 standard deviations above the mean.