Let x be a continuous random variable that is normally distributed with a mean of 27 and a standard deviation of 7. (a) Write a cumulative probability statement for the area under the normal curve to...

Extracted text: Let x be a continuous random variable that is normally distributed with a mean of 27 and a standard deviation of 7. (a) Write a cumulative probability statement for the area under the normal curve to find the probability that x assumes a value between 31.7 and 62.0: (b) Write an equivalent standardized probability statement for (a) above using the results obtained in the previous step: