Does this problem describe a discrete or continuous random variable? What kind probability distribution fits the random variable described in this problem? What is the probability that a customer does not leave a tip? Calculate the mean and variance of this distribution. What is the probability that on a day with 100 customers, exactly 50 of them leave a tip?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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  1. Whether a customer at a carry-out restaurant leaves a tip is a random variable. The probability that a customer leaves a tip is 0.42. The probability that one customer leaves a tip is independent of whether another customer leaves a tip. Let leaving a tip represent a “success” and not leaving a tip represent a “failure.”

 

  1. Does this problem describe a discrete or continuous random variable?
  2. What kind probability distribution fits the random variable described in this problem?
  3. What is the probability that a customer does not leave a tip?
  4. Calculate the mean and variance of this distribution.
  5. What is the probability that on a day with 100 customers, exactly 50 of them leave a tip? 
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