The time that customers wait to be served at the deli for a grocery store follows the uniform distribution between 0 and 7 minutes. What is the probability that a randomly selected customer will wait more than 4 minutes at the deli?.

Answers

Answer 1

The probability that a randomly selected customer will wait more than 4 minutes at the deli is given below

The probability that a randomly selected customer will wait more than 4 minutes = [tex]0.4286[/tex]

The waiting time for the customers is uniformly distributed between 0 - 7 minutes

Consider a random variabe X that represents the waiting time of customers and uniformly distributed between 0-7 minutes

Therefore, the density function of X is determined as

[tex]f(x) = \frac{1}{b-a}\\\\f(x) = \frac{1}{7-0}\\\\f(x) = \frac{1}{7}[/tex]

The probability that the customer will wait more than 4minutes,

[tex]P(X>4) = \int\limits^7_4 f{x} \,dx\\\\= \int\limits^7_4 \, \frac{1}{7}dx\\\\= \frac{1}{7} * [x]^7_4\\\\= \frac{7-4}{7} \\\\= 0.4286[/tex]

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Related Questions

pizza with peparoni or pizza with mustard and pinaple choose wisley ; -)​

Answers

Answer:

This is an SAT question, so I will be proofreading this for grammar.

The first pizza should be capitalized.

Peparoni is spelled wrong

Pinaple is spelled wrong

wisely is spelled wrong

There should be a period between "pinaple" and "choose"

The first half beginning with "pizza" and ending with "pinaple" is an incomplete sentence.

By the way, I would prefer pineapple.

The computer-related professional who writes codes for a wide range, from business software to games.

A)Software Tester

B)IT Manager

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D)Computer Programmer

Answers

Answer: Im going to guess A

Explanation: I honestly don't know if its not correct please let me know eee

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