Mathematics, 03.01.2020 01:31 cookie42087
In a study of wait times at an amusement park, the most popular roller coaster has a mean wait time of 17.4 minutes with a standard deviation of 5.2 minutes. if 30 days are randomly selected, find the probability that the mean wait time is greater than 20 minutes.
a: 0.0031
b: 0.1023
c: 0.3207
d: 0.9987
Answers: 1
and 
![P(x20)=1-P(x\leq20)\\\\=1-P(\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}\leq\dfrac{20-17.4}{\dfrac{5.2}{\sqrt{30}}})\\\\=1-P(z\leq2.74)\ \ [\because\ z=\dfrac{x-\mu}{\dfrac{\sigma}{\sqrt{n}}}]\\\\=1-0.9969\ \ [\text{ By z table}]\\\\=0.0031](/tpl/images/0440/6390/bb3d4.png)
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In a study of wait times at an amusement park, the most popular roller coaster has a mean wait time...
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