Suppose a random sample of size n = 1000 is obtained from a population with probability of success p = 0.25. Approximately 70% of American adults monitor a specific health indicator, for example...

Suppose a random sample of size n = 1000 is obtained from a population with probability of success p = 0.25.

Approximately 70% of American adults monitor a specific health indicator, for example weight, diet, or exercise.18 Suppose a random sample of 250 American adults is obtained, and all were asked if they monitor their health in some way.

a. Find the distribution of the sample proportion of American adults who monitor their health.

b. Find the probability that the sample proportion is less than 0.66.

c. Find the probability that the sample proportion is more than 0.71. d. Find the probability that the sample proportion is between 0.68 and 0.78