Mathematics, 30.10.2020 16:40 Lucialari4345
Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minutes with a standard deviation of 5 minutes. In a given week, a bus transported passengers 100 times. The probability that the average transport time was bigger than 27 minutes is
Answers: 3
and a standard deviation 
.![P(\overline{X}27)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}\dfrac{27-28}{\dfrac{5}{\sqrt{100}}})\\\\=P(Z\dfrac{-1}{\dfrac{5}{10}})\ \ \ [Z=\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=P(Z-2)=P(Z-z)=P(Z](/tpl/images/0855/1453/f8faa.png)
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Traveling between two campuses of a university in a city via shuttle bus takes, on average, 28 minut...
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