In: Statistics and Probability
The average number of words in a romance novel is 64,200 and the standard deviation is 17,431. 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 62,457 and 74,659 words.
c. The 95th percentile for novels is words. (Round to the nearest word)
d. The middle 80% of romance novels have from words to words. (Round to the nearest word)