Answer:
You should expect to find about 95% of the lead actresses ages between 16.9 years and 42.3 years.
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 = 29.6 years, Standard deviation = 6.35 years.
Between what two values would you expect to find about 95% of the lead actresses ages
By the Empirical Rule, within 2 standard deviations of the mean. So
29.6 - 2*6.35 = 16.9 years
29.6 + 2*6.35 = 42.3 years
You should expect to find about 95% of the lead actresses ages between 16.9 years and 42.3 years.
