Question

One college found that during one semester 1,259 students in its four most popular majors had...

One college found that during one semester 1,259 students in its four most popular majors had the following class distributions. Use the table below to determine the probabilities for a randomly selected student in this group.

First year

Sophomore

Junior

Senior

Row total

Business

115

90

105

111

421

Psychology

88

95

91

96

370

Nursing

85

81

79

76

321

Biology

63

45

25

14

147

Column total

351

311

300

297

1259

Compute the following probability:

a. What is the probability that a randomly selected student major in Psychology?

b. What is the probability that he/she is sophomore if he/she majors in nursing?

c. What is the probability that a randomly selected student major in Biology or Senior?

d. Is whether a student who major in business independent of Junior? Explain using probabilities.

(no excel work)

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