The average amount of rain in Dallas, Texas, during the month of April is 3.0 in

Question

The average amount of rain in Dallas, Texas, during the month of April is 3.0 inches. Assume that a normal distribution applies and that the standard deviation is 0.8 inches. What percent of the time is the amount of rainfall in April less than 3.5 inches? The average amount of rain in Dallas, Texas, during the month of April is 3.0 inches. Assume that a normal distribution applies and that the standard deviation is 0.8 inches. What percent of the time is the amount of rainfall in April less than 3.5 inches? What percent of the time is the amount of rainfall in April less than 3.5 inches?

Explanation / Answer

Mean is 3 and s is 0.8

z can be calculated as (x-mean)/s

P(x<3.5)= P(z<(3.5-3)/0.8)=P(z<0.63)

from normal distribution table we get 0.7357

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