Author Question: A bottle contains 16 ounces of water. The variable x represents the volume, in ounces, of water ... (Read 679 times)

dalyningkenk · **on:** Jun 24, 2018

A bottle contains 16 ounces of water. The variable x represents the volume, in ounces, of
water remaining in the bottle after the first drink is taken. What are the natural bounds
for the values of x? Is x discrete or continuous? Explain.

What will be an ideal response?

Question 2

A small computing center has found that the number of jobs submitted per day to its
computers has a distribution that is approximately mound-shaped and symmetric, with
a mean of 93 jobs and a standard deviation of 8.

On what percentage of days do the
number of jobs submitted exceed 101?

leahchrapun · **Reply #1 on:** Jun 24, 2018

Answer to Question 1

natural bounds for x: 0 ounces and 16 ounces; The variable x is continuous since the values of x correspond to the
points in some interval.

Answer to Question 2

The value 101 falls one standard deviation above the mean in the distribution. Using the Empirical Rule, 68 of the
days will have between 85 and 101 jobs submitted. Of the remaining 32 of the days, half, or 32/2 = 16, of the
days will have more than 101 jobs submitted.