The proportion of adult women in a certain geographical region is approximately 51%. A marketing survey telephones 600 people at random. Complete parts A through C below.

a.) What proportion of the sample of 600 would you expect to be women? (Type an integer or decimal. Do not round)

b.) what would the standard deviation of the sampling distribution be? SD(p hat) = (round to three decimal places as needed)

c.) How many women, on average, would you expect to find in a sample that size? (Type a whole number)

A survey of students in a large introductory statistics class asked about their birth order (1 = oldest or only child) and which Birth Order college of the university they were enrolled in. To the right is a table showing the results. Suppose a student is selected at College 1 or Only 2 or More Total random from this class. Complete parts a through d below. Arts & Sciences 27 30 57 Agriculture 56 32 88 Human Ecology 16 23 39 Other 10 10 20 Total 109 95 204 a) What is the probability that the person is a Human Ecology student? (Round to three decimal places as needed.) b) What is the probability that the person is a firstborn student? (Round to three decimal places as needed.) c) What is the probability that the person is firstborn and a Human Ecology student? (Round to three decimal places as needed.) d) What is the probability that the person is firstborn or a Human Ecology student? (Round to three decimal places as needed.)