Emission of sulfur dioxide by industry set off chemical changes in the atmospher

Question

Emission 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 Normal rain is somewhat acidic, so acid rain is sometimes defined as rainfall with a pH below 5.0. The pH of rain at one location varies among rainy days according to a Normal distribution with mean 5.4 and standard deviation 0.54. What proportion of rainy days have rainfall with pH below 5.0?

P.s. the answer is about 0.2296 but i need to know HOW to do this question, thanks!

Explanation / Answer

what we're calculating here is the standard deviations from the mean and the probability of getting a sample at or below a certain standard deviation below the mean. To calculate the distance from the mean in terms of standard deviations, we have this equation: (x-mu)/sigma=-.4/.54=-.740740741 According to the normal distribution table the probability of getting a sample value at or below -.74-7 standard deviations from the mean is 0.2294

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