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?
Accepted Solution
A:
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 = 7Then, the uniform distribution function is given by:[tex]f(x) = \displaystyle\frac{1}{b-a} = \frac{1}{7-0} = \frac{1}{7}[/tex]
a) P( 1 < x < 5)
[tex]=\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[/tex]0.5714 is the probability that a randomly selected customer will wait between 1 and 5 minutes at the delicatessen.