Answer :
Answer:
95% of premiums that are between $600 and $1300.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 950
Standard deviation = 175
Estimate the percent of premiums that are between $600 and $1300.
600 = 950 - 2*175
So 600 is two standard deviations below the mean.
1300 = 950 + 2*175
So 1300 is two standard deviations above the mean
By the Empirical Rule, 95% of premiums that are between $600 and $1300.