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.01.0040A [7 marks] marks] A friend of yours has been busy studying the statistics of their favorite football team and wants you 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 found some statistics of the teams playing history and found that the team has played a total of 500 games in which the probability that a random game: is is is is is is a a a a a a wet match is 0.35 win is 0.61 dry match and the team wins is 0.47 dry match and the team losses is 0.18 wet match and the team wins is 0.14 wet match and the team losses is 0.21 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 below. Fill in the correct number of outcomes for each part of the tree. Give your answers as whole numbers. Win Dry match Loss Win Wet match Loss b) Find the probability that a random game results in a loss given that it is a wet match. Give your answer as a decimal to 2 decimal places. P(not B given A) = 2 of 3 ID: MST.FET.P.CP.02.0030A [6 marks] marks] A survey of 900 people is conducted to study how support for a new government initiative differs between people from rural and urban backgrounds. The 900 people are made up of 450 people from urban areas and 450 people from rural areas. Each person is asked whether or not they support the government proposal. The results of the survey show that 232 are rural and support the proposal; 218 are rural and do not support the proposal; 191 are urban and support the proposal; and 259 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 an urban area Event B: a random person from the survey supports 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.03.0040A [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 odd number B: the result is less than or equal to 9 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 | Sunday, April 24, 2016, 10:35 http://www.perdisco.com.au