Developing Theoretical Probability Distributions, Expected Value
Statistics and Probability · Flashcards
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
What is
P
(
X
=
1
)
P(X=1)
P
(
X
=
1
)
for
X
∼
Binomial
(
5
,
1
4
)
X\sim\text{Binomial}(5,\frac{1}{4})
X
∼
Binomial
(
5
,
4
1
)
?
QUESTION
What is the expected value of a constant random variable
X
=
c
X=c
X
=
c
?
QUESTION
State the expected value formula for
X
∼
Binomial
(
n
,
p
)
X\sim\text{Binomial}(n,p)
X
∼
Binomial
(
n
,
p
)
.
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ANSWER
E
(
X
)
=
n
p
E(X)=np
E
(
X
)
=
n
p
. Mean of binomial distribution is number of trials times success probability.
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