Developing Theoretical Probability Distributions, Expected Value
Statistics and Probability · Flashcards · Application
STATISTICS AND PROBABILITY · FLASHCARDS
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QUESTION
What is
P
(
X
=
0
)
P(X=0)
P
(
X
=
0
)
when guessing on
5
5
5
questions with
p
=
1
4
p=\frac{1}{4}
p
=
4
1
?
QUESTION
What is the theoretical probability of a correct guess on a
4
4
4
-choice multiple-choice question?
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
)
?
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ANSWER
(
5
1
)
(
1
4
)
(
3
4
)
4
\binom{5}{1}\left(\frac{1}{4}\right)\left(\frac{3}{4}\right)^4
(
1
5
)
(
4
1
)
(
4
3
)
4
. Uses binomial formula with
n
=
5
n=5
n
=
5
,
k
=
1
k=1
k
=
1
,
p
=
1
4
p=\frac{1}{4}
p
=
4
1
.
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