A random sample of size n = 200 is taken from a population with a population proportion p = 0.75. [You may find it useful to reference the z table.]

a. Calculate the expected value and the standard error for the sampling distribution of the sample proportion. (Round "expected value" to 2 decimal places and "standard error" to 4 decimal places.)

b. What is the probability that the sample proportion is between 0.70 and 0.80? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.)

c. What is the probability that the sample proportion is less than 0.70? (Round "z" value to 2 decimal places, and final answer to 4 decimal places.)