Consider an introductory statistics class with 31 students, ranging from freshmen through seniors. Some students are male and some are female. Select one student at random and find the probability that Designates FemaleDesignates MaleFreshmanSophomoreJuniorSeniorFFFFFFFFFFFFFFFFMMMMMMMMMMM15 students8 students6 students2 students(a). the student is a female and a junior.(b). the student is a male or a sophomore.(c). the student is a sophomore given that the student is a male.

Name: Consider an introductory statistics class with 31 students, ranging fr
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Consider an introductory statistics class with 31 students, ranging from freshmen through seniors. Some students are male and some are female. Select one student at random and find the probability that Designates FemaleDesignates MaleFreshmanSophomor

Given the probability distribution table as follows: Gender Freshman Sophomore Junior Senior Total Female 9 3 4 1 17 Male 6 5 2 1 14 Total 15 8 6 2 31(a) Probability that student is female and junior: The probability that student is female and junior can be calculated as follows: Pfemale and junior=nfemale and juniorTotal number of students=431=0.1290(b) Probability that student is male or sophomore: The probability that student is male or sophomore can be calculated as follows: Pmale or sophomore=Pmale+Psophomore-Pmale and sophomore=1431+831-531=0.548(c) Probability that student is sophomore given that the student is male: The probability that student is sophomore given that the student is male can be calculated as follows: Psophomore|male=Pmale and sophomorePmale=5311431=0.357