The time that customers wait to be served at the delicatessen for a grocery store follows the uniform distribution between 0 and
7 minutes. what is the probability that a randomly selected customer will wait between 1 and 5 minutes at the deli?
1 answer:
Answer:
0.5714 is the probability that a randomly selected customer will wait between 1 and 5 minutes at the delicatessen.
Step-by-step explanation:
We are given the following information in the question:
a = 0, b = 7
Then, the uniform distribution function is given by:
a) P( 1 < x < 5)
![=\displaystyle\int_{1}^{5} f(x) dx\\\\=\displaystyle\int_{1}^{5} \frac{1}{7}dx\\\\=\frac{1}{7}[x]_{1}^{5} = \frac{1}{7}(5-1) = 0.5714](https://tex.z-dn.net/?f=%3D%5Cdisplaystyle%5Cint_%7B1%7D%5E%7B5%7D%20f%28x%29%20dx%5C%5C%5C%5C%3D%5Cdisplaystyle%5Cint_%7B1%7D%5E%7B5%7D%20%5Cfrac%7B1%7D%7B7%7Ddx%5C%5C%5C%5C%3D%5Cfrac%7B1%7D%7B7%7D%5Bx%5D_%7B1%7D%5E%7B5%7D%20%3D%20%5Cfrac%7B1%7D%7B7%7D%285-1%29%20%3D%200.5714)
0.5714 is the probability that a randomly selected customer will wait between 1 and 5 minutes at the delicatessen.
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Answer:
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Step-by-step explanation:
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Hope this helped : )
Sri but I hope u get the answer right and have a great weekend