Ask Question
6 April, 00:10

The number of words per page in a certain book is normally distributed with a mean of 340 words and a standard deviation of 20 words.

Approximately what percent of pages in the book are less than 360 words in length?

+4
Answers (1)
  1. 6 April, 00:37
    0
    Step-by-step explanation:

    Since the number of words per page in the book is normally distributed, we would apply the formula for normal distribution which is expressed as

    z = (x - µ) / σ

    Where

    x = number of words per page.

    µ = mean

    σ = standard deviation

    From the information given,

    µ = 340 words

    σ = 20 words

    The probability that the number of pages in the book are less than 360 words in length is expressed as

    P (x < 360)

    For x = 360,

    z = (360 - 340) / 20 = 1

    Looking at the normal distribution table, the probability corresponding to the z score is 0.84

    The percent of pages in the book that are less than 360 words in length is

    0.84 * 100 = 84%
Know the Answer?
Not Sure About the Answer?
Get an answer to your question ✅ “The number of words per page in a certain book is normally distributed with a mean of 340 words and a standard deviation of 20 words. ...” in 📙 Mathematics if there is no answer or all answers are wrong, use a search bar and try to find the answer among similar questions.
Search for Other Answers