4. Assume the number B of blossoms on an apple tree is Poisson distributed with and suppose that, independently from all the others, each blossom will yield a fruit with probability p = [0, 1]. parameter (a) Compute the distribution of the number of apples A on the tree. (b) Given the number of apples A, how is the original number of blossoms B distributed? Hint: Both answers can be phrased in terms of Poisson distributions. You also need to use the fact that TM8 k=0 k! = et (A = R).
4. Assume the number B of blossoms on an apple tree is Poisson distributed with and suppose that, independently from all the others, each blossom will yield a fruit with probability p = [0, 1]. parameter (a) Compute the distribution of the number of apples A on the tree. (b) Given the number of apples A, how is the original number of blossoms B distributed? Hint: Both answers can be phrased in terms of Poisson distributions. You also need to use the fact that TM8 k=0 k! = et (A = R).
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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![4.
Assume the number B of blossoms on an apple tree is Poisson distributed with
and suppose that, independently from all the others, each blossom will yield a
fruit with probability p = [0, 1].
parameter
(a) Compute the distribution of the number of apples A on the tree.
(b) Given the number of apples A, how is the original number of blossoms B distributed?
Hint: Both answers can be phrased in terms of Poisson distributions. You also need to use the
fact that
TM8
k=0
k!
=
et
(A = R).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F05295cc1-71f0-4e3b-b6f8-2c1731c6d617%2F409f0455-4a96-49b8-8319-e70e79c0ee0d%2F8oyk8mc_processed.png&w=3840&q=75)
Transcribed Image Text:4.
Assume the number B of blossoms on an apple tree is Poisson distributed with
and suppose that, independently from all the others, each blossom will yield a
fruit with probability p = [0, 1].
parameter
(a) Compute the distribution of the number of apples A on the tree.
(b) Given the number of apples A, how is the original number of blossoms B distributed?
Hint: Both answers can be phrased in terms of Poisson distributions. You also need to use the
fact that
TM8
k=0
k!
=
et
(A = R).
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