Emissions of sulfur dioxide by industry set off chemical cha

Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in acid rain. The acidity of liquids is measured by pH on a scale from 0 to 14. Distilled water has pH of 7.0 and lower pH values indicate acidity. The pH of rain at one location varies among rainy days according to a normal distribution with mean 5.43 and standard deviation 0.52.

Draw the normal distribution, label the mean, +1 ,+ 2 ,+3 .

Using the 68-95-99.7 rule. What is the approximate proportion of rainy days that have rain fall pH levels between 4.39 to 6.47?

Normal rain is somewhat acidic, so acid rain is sometimes defined as rain fall with a pH below 5.0. What proportion of rainy days have rainfall with pH below 5.0? Calculate the probability using a z-score and the standard normal table or in R. Show work or give code.

What value represents the 90^th percentile for rainy days? Show work or give code.

Solution