I need help with the following statistics problem. Please help me enter the functions for each question in Excel.

The Environmental Protection Agency (EPA) is concerned about pollution caused by factories that burn sulfur-rich fuel. In order to decrease the impact on the environment, factory chimneys must be high enough to allow pollutants to dissipate over a larger area. Assume that the mean height of chimneys in these factories is 100 meters (an EPA acceptable height) with standard deviation 12 meters. Use the appropriate Excel function to calculate each of the following. (Note - Part (b) will be answered by-hand.)

(a) If the chimney heights vary according to a normal distribution, find the probability that one chimney is taller than 115 meters.

(b) Write your answer for Part (b) directly on the output. Suppose that the heights of all individual chimneys in the population vary according to an unknown distribution. Suppose that samples of 50 chimneys will be selected and the mean height of each sample, , will be recorded. What will be the shape of the sampling distribution of the values? How do we know this?

(c) Find the probability that the mean height for a sample of 50 chimneys is greater than 104 meters.

(d) Find the probability that the mean height for a sample of 50 chimneys is between 98 and 102

meters.