Wright et al. used the 1999-2000 National Health and Nutrition Examination Survey (NHANES) to estimate dietary intake of 10 key nutrients. Researchers found the population mean sodium intake in healthy woman 60 years and older to be 2940 mg with a population standard deviation of 1476 mg.

Assuming that the sodium intake in healthy women 60 years and older follows X N(2940, 14762), what is the probability that a randomly sampled woman who is healthy and older than 60 years of age:

a. Has a sodium intake less than 2190 mg?

b. Has a sodium intake greater than 3240 mg?

c. Has a sodium intake between 2190 and 3240?

d. Has a sodium intake of exactly 2940 mg?