Question.5554 - Imagine you visit the same coffee shop every morning for a month and record the time it takes to receive your coffee after placing your order. After analyzing the data, you notice that the wait times follow a normal distribution. Most days, the wait time is close to an average of 8 minutes, with a standard deviation of 2 minutes. Some days, the wait is unusually short due to low customer traffic, while on others, it’s significantly longer because of a rush or staffing issues. This information helps you estimate how long you’ll usually wait and prepare for rare occasions of extreme delays. Questions: Explain the key properties and their practical benefit from the normal distribution in relation to the given example. Using the given mean (8 minutes) and standard deviation (2 minutes), show the calculation for the Z-score and find the probability of a wait time exceeding 10 minutes on a given day.
Answer Below:
1.In this example, we can see that the average wait time is 8 minutes. This means that we are just as likely to wait less than 8 minutes as we are to...
In xxxx example xx can xxx that xxx average xxxx time xx minutes xxxx means xxxx we xxx just xx likely xx wait xxxx than xxxxxxx as xx are xx wait xxxx than xxxxxxx This xxxxxx with xxx property xxxxxxxx which xxxx that x normal xxxxxxxxxxxx is xxxxxxxxx around xxx mean xxxxxxxxxxxxx When xxx distribution xx symmetric xx can xxxxxxx that xxx on xxxx days xxx wait xxxx will xx close xx the xxxxxxx Secondly xx this xxxxxxxx all xxxxx measures xx central xxxxxxxx are xxxx with xxxxxxx This xxxxxx with xxx property xxxx median xxx mode xxx all xxxxx The xxxxxxxxx benefit xx that xxx average xxxx time xxxxx represents x typical xxx so xxxxxxxx around xxxxxxx is xxxxxxxxx Thirdly xxx standard xxxxxxxxx minutes xxxxx how xxxx wait xxxxx vary xxxx the xxxxxxx This xxxxxx with xxx property xxxxxxxx deviation xxxxxxxx spread xxxxxxxx et xx With xxxx we xxx roughly xxxxxxxx that xx our xxxxxx will xxxx to xxxx between xxx minutes xxxx is xxxxxxxxxx as xxxxxxxxx us xx estimate xx how xxxx time xx wait xxxxxx the xxxxxxxxx Rule xxxx is xxxxxxxx Z- xxxxx formula xx z xx Given x Substituting xxxxx values xx the xxxxxxx we xxx Z x Using xxxxx function xxx probability xx waiting xxxx than xxxxxxx is x Z x Z x Z xxxxx norm x dist xxxx function x Z x Therefore xxx probability xx waiting xxxx than xxxxxxx is xx which xx approximately xxxx says xxxx there xx about xxxxxx that xx will xxxx more xxxx minutes xxx our xxxxxx on xxxxx day xxxxxxxxxxxxxxxxxx B xxxx S xxxxxxxx D xxxxxx B xxxx S xxxxxxx M xxxxxxxxx J xxxxxx L xxx S xxxx J xxxxxxxxxxxx statistics x Openstax xxxxx openstax xxx details xxxxx introductory-statistics- x Licensedunder x Creative xxxxxxx Attribution xxxxxxxxxxxxx September xxxxxx Distribution xxxxxxxxxx Uses xxxxxxxx GeeksforGeeks xxxxx www xxxxxxxxxxxxx org xxxxx normal-distributionPaying someone to do your statistics assignment has become a practical solution for students managing tight deadlines, academic pressure, and personal responsibilities. Today’s education system demands accuracy, originality, and timely submission, which can be difficult when multiple assignments overlap. Professional academic assistance helps students meet these expectations without unnecessary stress.
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