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Suppose that 60% of all tax returns lead to a refund. A random sample of a...

Suppose that 60% of all tax returns lead to a refund. A random sample of a 100 tax returns is taken.

a. What is the mean of the distribution of the sample proportion of returns leading to​ refunds?

b. What is the variance of the sample​ proportion?

c. What is the standard error of the sample​ proportion?

d. What is the probability that the sample proportion exceeds

0.65?

a. The mean of the distribution of the sample proportion is =

​(Round to two decimal places as​ needed.)

b. The variance of the sample proportion is =

​(Round to six decimal places as​ needed.)

c. The standard error of the sample proportion is =

​(Round to four decimal places as​ needed.)

d. The probability that the sample proportion exceeds 0.65

​(Round to four decimal places as​ needed

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