{"media":{"disableImageZooming":false},"answers":[{"correct":false,"tipsAndFeedback":{"chosenFeedback":"

There are two ways to find this probability. \n

Finding the triangle below 4 and subtracting from 1: \\(P(X>4) = 1-P(X\\leq 4) = 1-\\frac{1}{2}bh = 1-\\frac{1}{2}(4)(\\frac{2}{9}) = 1-\\frac{4}{9} = \\frac{5}{9}\\) <\/div>\n\n

or finding the area of the trapezoid greater than 4: \\(P(X>4) = \\frac{1}{2}(b_1+b_2)h = \\frac{1}{2}(1+4)\\frac{2}{9} = \\frac{5}{9}\\) <\/div>\n<\/div>\n","tip":"","notChosenFeedback":""},"text":"

\\(\\frac{2}{9}\\)<\/div>\n"},{"correct":false,"tipsAndFeedback":{"chosenFeedback":"

There are two ways to find this probability. \n

Finding the triangle below 4 and subtracting from 1: \\(P(X>4) = 1-P(X\\leq 4) = 1-\\frac{1}{2}bh = 1-\\frac{1}{2}(4)(\\frac{2}{9}) = 1-\\frac{4}{9} = \\frac{5}{9}\\) <\/div>\n\n

or finding the area of the trapezoid greater than 4: \\(P(X>4) = \\frac{1}{2}(b_1+b_2)h = \\frac{1}{2}(1+4)\\frac{2}{9} = \\frac{5}{9}\\) <\/div>\n<\/div>\n","tip":"","notChosenFeedback":""},"text":"

\\(\\frac{4}{9}\\)<\/div>\n"},{"correct":true,"tipsAndFeedback":{"chosenFeedback":"

Nice! Which way did you calculate this?<\/div>\n\n

Finding the triangle below 4 and subtracting from 1: \\(P(X>4) = 1-P(X\\leq 4) = 1-\\frac{1}{2}bh = 1-\\frac{1}{2}(4)(\\frac{2}{9}) = 1-\\frac{4}{9} = \\frac{5}{9}\\) <\/div>\n\n

or finding the area of the trapezoid greater than 4: \\(P(X>4) = \\frac{1}{2}(b_1+b_2)h = \\frac{1}{2}(1+4)\\frac{2}{9} = \\frac{5}{9}\\) <\/div>\n","tip":"","notChosenFeedback":""},"text":"

\\(\\frac{5}{9}\\)<\/div>\n"},{"correct":false,"tipsAndFeedback":{"chosenFeedback":"

There are two ways to find this probability. \n

Finding the triangle below 4 and subtracting from 1: \\(P(X>4) = 1-P(X\\leq 4) = 1-\\frac{1}{2}bh = 1-\\frac{1}{2}(4)(\\frac{2}{9}) = 1-\\frac{4}{9} = \\frac{5}{9}\\) <\/div>\n\n

or finding the area of the trapezoid greater than 4: \\(P(X>4) = \\frac{1}{2}(b_1+b_2)h = \\frac{1}{2}(1+4)\\frac{2}{9} = \\frac{5}{9}\\) <\/div>\n<\/div>\n","tip":"","notChosenFeedback":""},"text":"

\\(\\frac{4}{8}\\)<\/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":"

Using the distribution above, find the probability that X is greater than 4.<\/p>\n"}

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