The number of births at the local hospital has a Poisson distribution with an average of 60 per day.(a) What is the probability distribution for the daily number of births at this hospital?\[ p(x) = \underline{\hspace{3cm}} \](b) What is the probability distribution for the number of hourly births?\[ p(x) = \underline{\hspace{3cm}} \](c) What is the probability that there are fewer than 3 births in a given hour? (Round your answer to three decimal places.)\[ \underline{\hspace{3cm}} \](d) Within what interval does Tchebycheff's Theorem suggest you would expect to find the number of hourly births at least 89% of the time? (Round your answer up to the nearest whole number.)From 0 to \[ \underline{\hspace{3cm}} \]

The number of births has a poisson distribution with average=60 per dayNote: As per guidelines of…

Answered: The number of births at the local…

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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