Question

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

   uses social media and other websites to    Doesn't use social media and other websites to voice options 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 social media and other websites to voice options about television programs given the respondent is female?

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

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

Critical reading 502

Mathematics 515

Writing 494

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

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

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

Answer 1

Answer:---                                                                                       Date:---30/4/2020

2.