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A survey of students in a large intro to Statistics class asked about their birth order (1 = oldest or only child) and which course of study at the university they were enrolled in. Suppose we select a student at random from this class.

	1 or Only	2 or more	Total
English	37	23	60
Science and Engineering	52	41	93
Nursing	29	21	50
Other	12	18	30
Total	130	103	233

What is the probability that the student is (please give the faction and the decimal rounded to 3 decimal places)

a. a first-born student?

b. firstborn AND a nursing student?

c. firstborn OR a nursing student?

d. Given that a student is first born, what is the probability that they are a nursing student?

e. Are course of study and birth order independent events? Explain using the independence formula