The average number of words in a romance novel is 64,396 and the standard deviation is 17,450. 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, unless otherwise specified. a. What is the distribution of X? X ~ N( , ) b. Find the proportion of all novels that are between 62,651 and 80,101 words. c. The 70th percentile for novels is words. (Round to the nearest word) d. The middle 50% of romance novels have from words to words. (Round to the nearest whole number.)
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The distribution of X is a normal distribution, denoted as X ~ N(64396, 17450). b. To find the proportion of all novels that are between 62,651 and 80,101 words, we need to calculate the z-scores for these values and then use the standard normal distribution Show moreā¦
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