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

1. Has a sodium intake less than 2190mg? Which is the correct answer. There may be slight rounding differences. Please provide an explanation.

a. 0.305

b. 0.053

c. 0.503

2.B. Has a sodium intake greater than 3240mg? Which is the correct answer. There may be slight rounding differences. Please provide an explanation.

a. 0.702

b. 0.204

c. 0.420

3. Has a sodium intake between 2190mg and 3240mg? Which is the correct answer. There may be slight rounding differences. Please provide an explanation.

a. 0.725

b. 0.572

c. 0.275

4. Has a sodium intake of exactly 2940mg? Which is the correct answer. There may be slight rounding differences. Please provide an explanation.

a. Approximately 0.5

b. Approximately 1

c. Approximately zero