The average number of words in a romance novel is 64,130 and the standard deviation is 17,013. Assume the distribution is normal. Let X be the number of words in a randomly selected romance novel. Round all answers to 4 decimal places where possible.

a. What is the distribution of X? X ~ N(,)

b. Find the proportion of all novels that are between 72,637 and 89,650 .

c. The 70th percentile for novels is words. (Round to the nearest word)

d. The middle 70% of romance novels have from words to words. (Round to the nearest word)