Question

Emissions of sulfur dioxide by industry set off chemical changes in the atmosphere that result in "acid rain".

Answer 1

Using the normal distribution, it is found that 0.2119 = 21.19% of rainy days have rainfall with pH below 5.0.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

• The z-score measures how many standard deviations the measure is above or below the mean.

• Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 5.43, \sigma = 0.54$

The proportion of rainy days have rainfall with pH below 5.0 is the p-value of Z when X = 5, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{5 - 5.43}{0.54}$

Z = -0.8

Z = -0.8 has a p-value of 0.2119.

0.2119 = 21.19% of rainy days have rainfall with pH below 5.0.

More can be learned about the normal distribution at brainly.com/question/25800303

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