# Question: On a given day the number of square feet of

On a given day, the number of square feet of office space available for lease in a small city is a normally dis-tributed random variable with a mean of 750,000 square feet and a standard deviation of 60,000 square feet. The number of square feet available in a second small city is normally distributed with a mean of 800,000 square feet and a standard deviation of 60,000 square feet.

a. Sketch the distribution of leasable office space for both cities on the same graph.

b. What is the probability that the number of square feet available in the first city is less than 800,000?

c. What is the probability that the number of square feet available in the second city is more than

a. Sketch the distribution of leasable office space for both cities on the same graph.

b. What is the probability that the number of square feet available in the first city is less than 800,000?

c. What is the probability that the number of square feet available in the second city is more than

**View Solution:**## Answer to relevant Questions

A brewery’s filling machine is adjusted to fill quart bottles with a mean of 32.0 oz of ale and a variance of 0.003. Periodically, a bottle is checked and the amount of ale is noted. a. Assuming the amount of fill is ...A machine fills containers with a mean weight per container of 16.0 oz. If no more than 5% of the containers are to weigh less than 15.8 oz, what must the standard deviation of the weights equal? (Assume normality.) Use a computer or calculator to find the probability that one randomly selected value of x from a normal distribution, with mean 584.2 and standard deviation 37.3, will have a value a. less than 525. b. between 525 and ...We are often interested in finding the value of z that bounds a given area in the left-hand tail of the normal distribution, as shown in the accompanying figure. The notation z(a) represents the value of z such that P(z > ...Understanding the z notation, z(a), requires us to c. z(100 — 001) d. z (0.025) — z (0.975) know whether we have a z-score or an area. Each of the following expressions uses the z notation in a variety of ways, some ...Post your question