The total elaim amount X made in one year on a portfolio of iavuance policies has probability density function x20,A >0 otherwise Show that () P(X >x)="(1+ iN)
The total elaim amount X made in one year on a portfolio of iavuance policies has probability density function x20,A >0 otherwise Show that () P(X >x)="(1+ iN)
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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Question
complete the following question, formulas attached as well for assistance
Transcribed Image Text:The total claim amount X made in one year on a portfolio of insurance policies has
probability density function
otherwise
Show that
O Far(X)
(e)
P(X >x)="(1+ix)
![Statistics Formulae
ΣΑ
Mean. με Σ
Sample Variance = s.
Some Probability Formulae
P(AUB) = P(A) + P(B)- P(AOB)
1.
PANB)
; P(B)>0
2.
P(A B) =
PB)
3.
P(AnB) = P(A/ B)+ P(B)
4.
P(AIB) = P(A)
P(AnB) = P(A) • P(B)
5.
P(A) = PA/ B)B) + PA/B)P(P(B)
6.
P(BI A)P(A)
8.
P(A B) =
PBI A)P(A) + PMBIA)PA)
με ΕίX) Σα)
9.
a =V(X) = E[(X - ']=E(x-' P(x)
10.
a =V(X) = E(X) -[E(X)r
11.
n!
12.
P(x) =
13.
= np: o
= npq
Plx) = 'e".
14.
for x= 0,1,2,3.
15.
P(x)=pqx-](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F629ed93e-4080-444e-8701-1ffda401e024%2F47d805ef-6e21-456a-b96e-2bbe15433341%2Fvnejt4n_processed.png&w=3840&q=75)
Transcribed Image Text:Statistics Formulae
ΣΑ
Mean. με Σ
Sample Variance = s.
Some Probability Formulae
P(AUB) = P(A) + P(B)- P(AOB)
1.
PANB)
; P(B)>0
2.
P(A B) =
PB)
3.
P(AnB) = P(A/ B)+ P(B)
4.
P(AIB) = P(A)
P(AnB) = P(A) • P(B)
5.
P(A) = PA/ B)B) + PA/B)P(P(B)
6.
P(BI A)P(A)
8.
P(A B) =
PBI A)P(A) + PMBIA)PA)
με ΕίX) Σα)
9.
a =V(X) = E[(X - ']=E(x-' P(x)
10.
a =V(X) = E(X) -[E(X)r
11.
n!
12.
P(x) =
13.
= np: o
= npq
Plx) = 'e".
14.
for x= 0,1,2,3.
15.
P(x)=pqx-
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