Need proper and accurate solution of all parts: (a) Show that for a Poisson distribution the mean is equal to the variance. (b) In a bakery 3600 sultanas are added to a mixture which is subsequently divided up to make 1200 fruit scones. Assuming that the number of sultanas in each scone follows a Poisson distribution, estimate (i) the number of scones which will be without a sultana; (ii) the number with 5 or more sultana

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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Need proper and accurate solution of all parts: (a) Show that for a Poisson distribution the mean is equal to the variance. (b) In a bakery 3600 sultanas are added to a mixture which is subsequently divided up to make 1200 fruit scones. Assuming that the number of sultanas in each scone follows a Poisson distribution, estimate (i) the number of scones which will be without a sultana; (ii) the number with 5 or more sultana.
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