A random sample of size n = 135 is taken from a population with population proportion P = 0.58. Use Table 1.

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 deviation" to 4 decimal places.)

Expected value
Standard error

b.	What is the probability that the sample proportion is between 0.50 and 0.60? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

Probability

c.	What is the probability that the sample proportion is less than 0.50? (Round “z” value to 2 decimal places, and final answer to 4 decimal places.)

Probability