Question

Hi explaining the below question it is so complicated for me

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A survey of undergraduate students in the School of Business at Northern University revealed the following regarding the gender and majors of the students:

Major Accounting Marketing Total Gender Finance 50 Male 110 170 330 110 50 Female 60 220 110 550 Total 220 220

a. What is the probability of selecting a female student? (Round the final answer to 2 decimal places.)

Probability         

b. What is the probability of selecting a finance or an accounting major? (Round the final answer to 2 decimal places.)

Probability         

c-1. What is the probability of selecting a female or an accounting major? (Round the final answer to 2 decimal places.)

Probability         

c-2. Which rule of addition did you apply?

  (Click to select)   Special rule of addition   General rule of addition

d. What is the probability of selecting a finance major, given that the person selected is a male? (Round the final answer to 2 decimal places.)

Probability         

e. Suppose two students are selected randomly to attend a lunch with the president of the university. What is the probability that both of those selected are accounting majors? (Round the final answer to 4 decimal place

Answer 1

Solution: Part-A: Probability of selecting a female student Total number of females 220 P(Female) = Total number of students 550 Part-B: Probability of selecting a finance or an accounting major: P(Finance OR Accounting) - P(Finance) + P(Accounting) Total number of finance students Total number of accounting students → P (Finance OR Accounting) = Total number of students 110 220 Total number of students -> P(Finance OR Accounting) 550 550 > P(Finance OR Accounting) - 0.60 Part-C1: Probability of selecting a female or an accounting major: P(Female OR Accounting) - P(Female) + P(Accounting) >P(Female OR Accounting) P(Female AND Accounting) Total number of female students Total number of accounting students Total number of students Total number of female accounting students Total number of students Total number of students 220 220 110 P (Female OR Accounting)--+ 550 550 550 → P (Female OR Accounting) = 0.60

Part-C2: Special Rule of Addition is used. Part-D: Probability of selecting a finance major, given that the person selected is a male P(Finance AND Male) 50/550 P(Male) - 0.15 P(Finance(Male) = 330/550 Part-E: Probability that both of those selected are accounting majors: 219 01596 549 0.1596