A.Forty- three percent of Americans use social media and otherwebsites to voice their options about television programs (theHuffington post, November 23, 2011). Below are the results ofsurvey of 1364 individuals who were asked if they use social mediaand other websites to voice their options about televisionprograms.

   uses social media and other websites to   Doesn't use social media and other websites to voiceoptions about television program

voice options about Television program

Female 395 291

Male 323 355

a.Show a joint probability table.

b.What is the probability a respondent is female?

c.What is the conditional probability a respondent uses socialmedia and other websites to voice options about television programsgiven the respondent is female?

d.Let F denote the event that the respondent is female and Adenote the event that the respondent uses social media and otherwebsites to voice options about television program. Are events Fand A independent ?

B. The college board reported the following mean scores for thethree parts of the SAT ( The world Almanac, 2009):

Critical reading 502

Mathematics 515

Writing 494

Assume that the population standard deviation on each part ofthe test is 100.

a.What is the probability that a random sample of 90 test takerswill provide a sample mean test score within 10 points of thepopulations mean of 502 on the critical reading part of thetest?

b.What is the probability that a random sample of 90 test takerswill provide a sample mean test score within 10 points of thepopulation mean of 515 on the mathematics part of the test ?Complete this Probability to the value computed in part (a).