(3 Random sultanas in scones (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 sultanas.
(3 Random sultanas in scones (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 sultanas.
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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![(3 Random sultanas in scones
(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 sultanas.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4dd882c2-29cc-433d-ac90-6925f49678df%2F72b15b52-5259-41a6-95ef-f5b8a5d7b5a7%2Fgdggwx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(3 Random sultanas in scones
(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 sultanas.
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