The disczete zandom variable X has probablity mass function given by (4)" P(X -x) -k x-12345 x-6 where k is a constant otherwise (4) Detecmine the value of k (6) Find the mode (e) Find the mean and vasiance of the distzībution
The disczete zandom variable X has probablity mass function given by (4)" P(X -x) -k x-12345 x-6 where k is a constant otherwise (4) Detecmine the value of k (6) Find the mode (e) Find the mean and vasiance of the distzībution
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determine the following attached with formulas to assist
Transcribed Image Text:Question # 1
The disczete zandom variable X has probability mas function given by
(4)"
P(X -x) -k
x-123.4,5
x-6
where k is a constant
otherwise
(4) Determine the valne of k
(b) Find the mode
(e) Find the mean and variance of the distribution
![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%2F20d2859b-94b1-472d-9eb7-f3c7e352b86d%2F8bnhsvb_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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