Please show work for problem b) thank you! ircle one of the listed choices for e
ID: 2936072 • Letter: P
Question
Please show work for problem b) thank you!
ircle one of the listed choices for each question (no explanation is needed). (8 points) The following information is for the next four questions: Suppose that, of graduating seniors: 60% are female; 30% plan to attend graduate school: 90% are from in-state: 58% are from in-state and are female. You may assume that whether or not a student plans to attend graduate school is independent of his or her sex. Suppose that a graduating senior is selected at random. What is the probability the selected student will be... (a) (2 points) ...from in-state or female? i. .90; iv, .54 v. None of the above choices represents a suitable response i. 72; ii. .90: iv. .32; v. None of the above choices represents a suitable response. (c) (2 points) ...male? i. 60; iv. .10; v. None of the above choices represents a suitable response. (d) (2 points).. will be one who does not plan to attend graduate school? i. .80; ii. 30; iii .20; IV fthe ahove choices represents a suitable response.Explanation / Answer
P(Female)=0.6, P(plan to attend school)=0.3
Since the events Female and 'Plan to attend school' are independent, thus P(Female and plan to attend school) =P(female)*P(plan to attend school)=0.6*0.3=0.18
Thus option 3 is correct