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a) What must the value of k be for this to be a valid probability model? 06 b) What is the probability that at least one walter and at least one chef show up on any given day? c) What is the probability that more chefs show up than waiters on any given day? d) What is the probability that more than three total staff (waiters and chefs) will show up on any given day?

a) What must the value of k be for this to be a valid probability model? 06 b) What is the probability that at least one walter and at least one chef show up on any given day? c) What is the probability that more chefs show up than waiters on any given day? d) What is the probability that more than three total staff (waiters and chefs) will show up on any given day?

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. X 1 2 3 0 Ok 0.01 0.030.04 10.01 0.02 0.05 0.05 20.01 0.03 0.04 0.65 a) What must the value of k be for this to be a valid probability model? 06 b) What is the probability that at least one waiter and at least one chef show up on any given day? c) What is the probability that more chefs show up than waiters on any given day? d) What is the probability that more than three total staff (waiters and chefs) will show up on any given day? e) What is the expected total number of staff (waiters and chefs) that will show up on any given day? 1) What is the probability that three waiters will show up on any given day? g) What is the probability that two chefs will show up on any given day? X and Y are independent. False True
Transcribed Image Text:A restaurant needs a staff of 3 waiters and 2 chefs to be properly staffed. The joint probability model for the number of waiters (X) and chefs (Y) that show up on any given day is given below. X 1 2 3 0 Ok 0.01 0.030.04 10.01 0.02 0.05 0.05 20.01 0.03 0.04 0.65 a) What must the value of k be for this to be a valid probability model? 06 b) What is the probability that at least one waiter and at least one chef show up on any given day? c) What is the probability that more chefs show up than waiters on any given day? d) What is the probability that more than three total staff (waiters and chefs) will show up on any given day? e) What is the expected total number of staff (waiters and chefs) that will show up on any given day? 1) What is the probability that three waiters will show up on any given day? g) What is the probability that two chefs will show up on any given day? X and Y are independent. False True
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