P wwwstat purd x C D purd 22 Homework 5pdf 10 A random surve

P www.stat purd x C D purd 22 Homework 5.pdf 10. A random survey of 80 students asked each student to select his/her most preferred form of recreational activity from four choices. Following are the results of the survey. a) Fill in the missing values for the table. Recreational Choice Gender Basketball Baseball Swimming Jogging Totals Male 22 52 Female 33 2 15 28 Totals 30 12 27 b) What is the probability a surveyed student was a female and chose basketball? Is this a marginal, conditional, or joint probability? c) Calculate the probability that a surveyed student chose baseball. Is this a marginal, conditional, or joint probability? d) Of the students who chose jogging, what percent of surveyed students were female? Is this a marginal, conditional, or joint probability? e) What is the probability that a surveyed student did not choose swimming? Is this a marginal, conditional, or joint probability? P wa 5 11:11 AM 12/9/2015

Solution

b)   P( Female and BasketBall) = 8/80 = 0.1                  
                      
c)    P(Baseball) = 11/80 = 0.1375                  
                      
d)    P( Female of Jogging ) = 15/27 = .55 ~ 55% are chosing jogging                  

a)	Gender	BasketBall	Baseball	Swimming	Jogging	Totals
	Male	22	8	10	12	52
	Female	8	3	2	15	28
	Total	30	11	12	27	80