Answer:
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%
