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15. The mean annual automobile insurance premium is $950, with a standard deviat

ID: 3022497 • Letter: 1

Question

15. The mean annual automobile insurance premium is $950, with a standard deviation of s1 The data set has a bell-shaped distribution. Estimate the percent of premiums that are between $600 and $1300. A. 68% B. 75% C. 95% D. 99.7% E. None 16. Each year, in a small town in Maryland, an award is given to the person who has read the most books in a year. The following is a table representing the ages of the book award winners over the past 30 years. Ages of Book Award winners over the past 30 years: 41 34 51 62 32 42 54 52 30 39 53 44 29 43 56 35 51 57 28 30 30 53 41 34 51 62 43 32 42 50 What age range is the winner most likely to be in? A) 56-65 B) 46-55 CO 36 45 D) 26-35 E. None

Explanation / Answer

15.) X :/Premium

P( 600 < X < 1300)

= P((600-950)/175 < Z < (1300-950)/175)

= P(-2 < Z < 2)

= 95%

16.)

The age range of the winner is most likely to be 26-35.

Range frequency 26 - 35 10 36 - 45 7 46 - 55 9 56 - 65 4
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