In a large introductory statistics lecture hall, the professor reports that 60% of the students enrolled...

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In a large introductory statistics lecture hall, the professor reports that 60% of the students enrolled have never taken a calculus course, 30% have taken only one semester of calculus, and the rest have taken two or more semesters of calculus. The professor randomly assigns students to groups of three to work on a project for the course. You are assigned to be part of a group. What is the probability that of your other two groupmates, a) neither has studied calculus? b) both have studied at least one semester of calculus? c) at least one has had more than one semester of calculus? a) The probability that neither of your other two groupmates has studied calculus is . (Type an integer or a decimal.) b) The probability that both of your other two groupmates have studied at least one semester of calculus is (Type an integer or a decimal.) c) The probability that at least one of your other two groupmates has had more than one semester of calculus is . (Type an integer or a decimal.) A survey of students in a large introductory statistics class asked about their birth order (1 = oldest or only child) and which college of the university they were enrolled in. To the College right is a table showing the results. Suppose a student is selected at random from this class. Complete parts a through d below. Arts & Sciences Agriculture Human Ecology Other Total 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.) Birth Order 1 or Only 2 or More Total 28 25 53 51 35 86 14 27 41 19 24 43 112 111 223 In a large introductory statistics lecture hall, the professor reports that 60% of the students enrolled have never taken a calculus course, 30% have taken only one semester of calculus, and the rest have taken two or more semesters of calculus. The professor randomly assigns students to groups of three to work on a project for the course. You are assigned to be part of a group. What is the probability that of your other two groupmates, a) neither has studied calculus? b) both have studied at least one semester of calculus? c) at least one has had more than one semester of calculus? a) The probability that neither of your other two groupmates has studied calculus is . (Type an integer or a decimal.) b) The probability that both of your other two groupmates have studied at least one semester of calculus is (Type an integer or a decimal.) c) The probability that at least one of your other two groupmates has had more than one semester of calculus is . (Type an integer or a decimal.) A survey of students in a large introductory statistics class asked about their birth order (1 = oldest or only child) and which college of the university they were enrolled in. To the College right is a table showing the results. Suppose a student is selected at random from this class. Complete parts a through d below. Arts & Sciences Agriculture Human Ecology Other Total 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.) Birth Order 1 or Only 2 or More Total 28 25 53 51 35 86 14 27 41 19 24 43 112 111 223