Question

**Consider the following outcomes for an experiment.
Outcome 1 2 3 4 5**

**Probability: 0.2 0.25 0.15 0.1 0.3**

**(a) LetA={1,3,5},B={4,5}.
FindP(A),P(B),andP(A∪B).**

**(b) Are A and B independent? Justify.**

**(c) Find the expected value of the outcome.**

Answer #1

Consider the following data:
x
2
3
4
5
6
P(X=x)
0.3
0.2
0.2
0.1
0.2
Step 1 of 5 : Find the expected value E(X). Round your answer to
one decimal place.

The outcomes of an experiment, along with the corresponding
probabilities are given below. Find the expected value of the
experiment.
Outcome Probability
4 0.2
2 0.3
0 0.25
-1 0.1
-5 0.15
A computer repair shop estimates that there is a 0.4 probability
that the next computer will require 30 minutes to fix, a 0.5
probability that it will require 45 minutes to fix, and a 0.1
probability that it will require 70 minutes to fix. What is the
expected...

Consider the following data:
x
−7
−6
−5
−4
−3
P(X=x)
0.2
0.1
0.2
0.2
0.3
Copy Data
Step 1 of 5:
Find the expected value E(X). Round your answer to one decimal
place.
Step 2 of 5:
Find the variance. Round your answer to one decimal place.
Step 3 of 5:
Find the standard deviation. Round your answer to one decimal
place.
Step 4 of 5:
Find the value of P(X>−5). Round your answer to one decimal
place.
Step...

Consider the following data:
x
−4
−3
−2
−1
0
P(X=x)P(X=x)
0.3
0.1
0.1
0.2
0.3
Copy Data
Step 2 of 5 :
Find the variance. Round your answer to one decimal place.

x
−5
−4
−3
−2
−1
P(X=x)
0.2
0.1
0.3
0.1
0.3
Step 3 of 5 :
Find the standard deviation. Round your answer to one decimal
place.
Step 4 of 5 :
Find the value of P(X> ?5). Round your answer to one decimal
place.
Step 5 of 5 :
Find the value of P(X> ?6). Round your answer to one decimal
place.

A probability model:
Value
1
2
3
4
Probability
0.2
?
0.3
0.1
What is the probability that x=2?
Find E(X).
find σ2X.
find σx
Find E(2 – 5X)
Find V(2 – 5X).

Consider the following data:
x 1 2 3 4 5
P(X=x) 0.2 0.2 0.2 0.2 0.2
Step 2 of 5 : Find the variance. Round your answer to one
decimal place.

Suppose we have 3 assets:
Expected returns = [0.1 0.15 0.12]
Standard déviations = [0.2 0.25 0.18]
Correlations = [1 0.8 0.4
0.8 1 0.3
0.4 0.3 1]
Find all possible pairwise two-asset portfolios and plot on a
backround of random portfolios of all
three assets. Comment on the efficient frontier.

Consider the following data:
x
3
4
5
6
7
P(X=x)P(X=x)
0.2
.1
.2
.2
0.3
Copy Data
Step 2 of 5:
Find the variance. Round your answer to one decimal place.
Step 3 of 5:
Find the standard deviation. Round your answer to one decimal
place.
Step 4 of 5:
Find the value of P(X>6)P(X>6). Round your answer to one
decimal place.
Step 5 of 5:
Find the value of P(X≤5)P(X≤5). Round your answer to one decimal
place.

Complete the given relative frequency distribution.
Outcome
1
2
3
4
5
Rel.
Frequency
0.4
0.1
0.3
0.1
Compute the relative frequencies.
(a)
P({2, 3, 4})
(b)
P(E') where
E = {3, 4}

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