Question 10 of 18 Step 1 of 2 01:24:18 Mr. Connors physics class has 102 student

Question

Question 10 of 18 Step 1 of 2 01:24:18 Mr. Connors physics class has 102 students, classified by academic year and gender, as illustrated in the table. Mr.Connor randomly chooses one student to collect yesterday's work. Mr. Connor's Physics Class Males Females Freshmen 9 12 9 Sophomores 19 Juniors 19 7 Seniors 17 10 Copy Data Step 1 of 2 what is the probability that he selects a female, given that he chooses randomly from only the sophomores Express your answer as a fraction or a decimal rounded to four decimal places. Next

Explanation / Answer

a) P(female | sophomores) = P(female and sophomores) / P(sophomores)

                                            = (9/102) / ((19+9)/102)

                                            = 9 / 28

b) P(sophomore | female) = P(sophomore and female) / P(female)

                                          = (9/102) / ((12+9+7+10)/102)

                                          = 9 / 38

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