ductory Statistics Third Edition Perdisco Assessment Below is a set of assessable homework questions on this topic, selected by your professor. Take care! Do not submit your answers until you have read all the instructions and answered the questions carefully. When you submit your answers, you will receive immediate feedback. Navigating this page: Submit answers: Submit your answers for immediate grading Bookmark: Save this question set so that you can come back to it later 1 of 3 ID: MST.FET.P.CP.01.0030A [7 marks] marks] Your friend has been busy studying the statistics of their favorite football team and wants your help. They are interested in looking at how the team fairs during wet matches, i.e. games played in wet weather, compared to dry matches. They have researched the team's playing history and found that the team has played a total of 500 games of which 281 were dry matches and 222 were wins. Further, the team has had 60 wins in wet matches and 162 wins in dry matches; and also the team had 159 losses in wet matches and 119 losses in dry matches. Let the events A and B be: Event A: a random game is a wet match Event B: a random game results in a win a) An incomplete tree diagram for this scenario is presented. Fill in the appropriate probability for each part of the tree. Give your answers as decimals to 2 decimal places. Win Dry match Loss Win Wet match Loss b) Find the probability that a random game results in a win given that it is a wet match. Give your answer as a decimal to 2 decimal places. P(B given A) = 2 of 3 ID: MST.FET.P.CP.02.0040A [6 marks] marks] A survey of 1,000 people is conducted to study how support for a new government initiative differs between people from rural and urban backgrounds. The 1,000 people are made up of 500 people from urban areas and 500 people from rural areas. Each person is asked whether or not they support the government proposal. The results of the survey show that 163 are rural and support the proposal; 337 are rural and do not support the proposal; 183 are urban and support the proposal; and 317 are urban and do not support the proposal. a) A tree diagram describing this situation has been drawn up, and some probabilities have been filled in. Complete the tree diagram for this scenario by filling in the appropriate probability for each part of the tree. Give your answers as decimals to 2 decimal places. Does support Rural 0.5 Doesn't support Does support Urban 0.5 Doesn't support Let the events A and B be: Event A: a random person from the survey is from a rural area Event B: a random person from the survey doesn't support the proposal b) Find the probability of A and B Give your answer as a decimal to 2 decimal places. P(A and B) = c) Find the probability of B given A. Give your answer as a decimal to 2 decimal places. P(B|A) = 3 of 3 ID: MST.FET.P.CP.03.0030A [2 marks] marks] For the random process of rolling two six-sided dice and recording the sum, let A and B be the events defined by: A: the result is an even number B: the result is less than or equal to 8 a) Calculate the probability of B given A. Give your answer as a decimal to 2 decimal places. P(B|A) = b) Calculate the probability of A given B. Give your answer as a decimal to 2 decimal places. P(A|B) = Perdisco / latin /, v., to learn thoroughly 2010 Perdisco Terms Of Use | Privacy Policy | Friday, April 15, 2016, 16:05 http://www.perdisco.com.au