{"introPage":{"showIntroPage":false,"startButtonText":"Start Quiz","introduction":""},"progressType":"dots","passPercentage":50,"questions":[{"params":{"media":{"disableImageZooming":false},"answers":[{"correct":false,"tipsAndFeedback":{"chosenFeedback":"

This is the most common outcome and the mode of our distribution (also the sum of all our probabilities, which is always 1), but this isn't the long-run average we discussed previously<\/div>\n","tip":"","notChosenFeedback":""},"text":"

1<\/div>\n"},{"correct":false,"tipsAndFeedback":{"chosenFeedback":"

Looking at the table, 5 isn't a possible outcome - it's way too large to be our average. It looks like you added up all the possible outcomes without weighting them by their probabilities.<\/div>\n","tip":"","notChosenFeedback":""},"text":"

5<\/div>\n"},{"correct":true,"tipsAndFeedback":{"chosenFeedback":"

Nice job applying the formula! \n

0.5(0.15) + 1(0.45) + 1.5(0.3) + 2(0.1) = 1.175.<\/div>\n<\/div>\n","tip":"","notChosenFeedback":""},"text":"

1.175<\/div>\n"},{"correct":false,"tipsAndFeedback":{"chosenFeedback":"

It looks like you added up all the possible outcomes and divided by the number of possible outcomes without weighting them by their probabilities.Our probabilites were slightly larger for the lower values of X, so our mean will be below 1.25.<\/div>\n","tip":"","notChosenFeedback":""},"text":"

1.25<\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"

Calculate the mean of X.<\/p>\n"},"library":"H5P.MultiChoice 1.16","metadata":{"contentType":"Multiple Choice","license":"U","title":"Untitled Multiple Choice"},"subContentId":"2ab48c1e-5bf0-4ef3-88f9-fd08f06b35ec"},{"params":{"media":{"disableImageZooming":false},"answers":[{"correct":false,"tipsAndFeedback":{"chosenFeedback":"

0.45 is the probability that X = 1, but we need the probability that X = 0.5 or 1 as they are both less than 1.5<\/div>\n","tip":"","notChosenFeedback":""},"text":"

0.45<\/div>\n"},{"correct":false,"tipsAndFeedback":{"chosenFeedback":"

It looks like you have the right idea, but you included probability for X = 1.5. This\"less than 1.5 hours\" (X < 1.5) does not include X = 1.5.<\/div>\n","tip":"","notChosenFeedback":""},"text":"

0.9<\/div>\n"},{"correct":true,"tipsAndFeedback":{"chosenFeedback":"

The probability that X < 1.5 is the total area of the bars that are to the left of 1.5 in the probability histogram or the two values that are less than 1.5 in the table added together: 0.15 + 0.45.<\/div>\n","tip":"","notChosenFeedback":""},"text":"

0.6<\/div>\n"}],"overallFeedback":[{"from":0,"to":100}],"behaviour":{"enableRetry":true,"enableSolutionsButton":true,"enableCheckButton":true,"type":"auto","singlePoint":false,"randomAnswers":true,"showSolutionsRequiresInput":true,"confirmCheckDialog":false,"confirmRetryDialog":false,"autoCheck":false,"passPercentage":100,"showScorePoints":true},"UI":{"checkAnswerButton":"Check","submitAnswerButton":"Submit","showSolutionButton":"Show solution","tryAgainButton":"Retry","tipsLabel":"Show tip","scoreBarLabel":"You got :num out of :total points","tipAvailable":"Tip available","feedbackAvailable":"Feedback available","readFeedback":"Read feedback","wrongAnswer":"Wrong answer","correctAnswer":"Correct answer","shouldCheck":"Should have been checked","shouldNotCheck":"Should not have been checked","noInput":"Please answer before viewing the solution","a11yCheck":"Check the answers. The responses will be marked as correct, incorrect, or unanswered.","a11yShowSolution":"Show the solution. The task will be marked with its correct solution.","a11yRetry":"Retry the task. Reset all responses and start the task over again."},"confirmCheck":{"header":"Finish ?","body":"Are you sure you wish to finish ?","cancelLabel":"Cancel","confirmLabel":"Finish"},"confirmRetry":{"header":"Retry ?","body":"Are you sure you wish to retry ?","cancelLabel":"Cancel","confirmLabel":"Confirm"},"question":"

What is the probability that a randomly chosen driver entering the garage will buy a permit for less than 1.5 hours?<\/p>\n"},"library":"H5P.MultiChoice 1.16","metadata":{"contentType":"Multiple Choice","license":"U","title":"Untitled Multiple Choice"},"subContentId":"db1c7d0e-c2f5-4e37-bad8-b431ae6605df"}],"disableBackwardsNavigation":false,"randomQuestions":false,"endGame":{"showResultPage":true,"showSolutionButton":true,"showRetryButton":true,"noResultMessage":"Finished","message":"Your result:","scoreBarLabel":"You got @finals out of @totals points","overallFeedback":[{"from":0,"to":100}],"solutionButtonText":"Show solution","retryButtonText":"Retry","finishButtonText":"Finish","submitButtonText":"Submit","showAnimations":false,"skippable":false,"skipButtonText":"Skip video"},"override":{"checkButton":true},"texts":{"prevButton":"Previous question","nextButton":"Next question","finishButton":"Finish","submitButton":"Submit","textualProgress":"Question: @current of @total questions","jumpToQuestion":"Question %d of %total","questionLabel":"Question","readSpeakerProgress":"Question @current of @total","unansweredText":"Unanswered","answeredText":"Answered","currentQuestionText":"Current question","navigationLabel":"Questions"}}

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