4. SeeClear Windows makes windows for use in homes andcommercial buildings. The standards for glass thickness call forthe glass to average 0.375 inches with a standard deviation equalto 0.050 inches.
a. What is the population meanthickness of the windows that meet the standard?

b. What is the population standarddeviation of the windows that meet the standard?

c. What is the probability that a randomglass X will be thicker than 0.392inches if the windows meet the standard?(in decimal format, roundto 4 decimal digits, e.g. 0.1111)

d. Suppose we randomly select 64 pieces of windows, whatis the mean thickness of all possible samplemeans?

e. Suppose we randomly select 64 pieces of windows, whatis the standard deviation of all possible samplemeans (standard error)? (in decimal format,round to 3 decimal digits, e.g. 0.111)

f. Suppose we randomly select 64 pieces of windows, what is theprobability that one sample mean X_bar will bethicker than 0.392 inches if the windows meet thestandards? (in decimal format, round to 4 decimal digits, e.g.0.1111)