ACTIVITY 3.1 SOLVE THE FOLLOWING PROBLEMS 1. A researche surveyed the household in a remote. The random variable X represents the number of high school graduates in the households. The probability distribution of X is shown below. 2 1 3 4 P(x) 0.02 0.18 0.30 0.40 0.10 Find the expected value and variance of X. Solution P(x) xP(x) x²P{x) 1 3 4 E[XP(x)] = Z[X*P{x)] = a. Expected b. Variance to the l osoital
ACTIVITY 3.1 SOLVE THE FOLLOWING PROBLEMS 1. A researche surveyed the household in a remote. The random variable X represents the number of high school graduates in the households. The probability distribution of X is shown below. 2 1 3 4 P(x) 0.02 0.18 0.30 0.40 0.10 Find the expected value and variance of X. Solution P(x) xP(x) x²P{x) 1 3 4 E[XP(x)] = Z[X*P{x)] = a. Expected b. Variance to the l osoital
MATLAB: An Introduction with Applications
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![ACTIVITY 3.1 SOLVE THE FOLLOWING PROBLEMS
1. A researche: surveyed the household in a remote. The random variable X represents the nuimter or
high school graduates in the households. The probability distribution of X is shown below.
1
2
3
4
P(x)
0.02
0.18
0.30
0.40
0.10
Find the expected value and variance of X.
Solution
P(x)
xP(x)
xP{x)
1
3
4
Z[xP(x)] =
Z[X*P({x)] =
а. Еxpected
b. Variancee
1. The random variable x represents the number of taxis cabs a doctor meets on his way to thel'ospital.
The probability distribution of X is given in the following distribution table.
3
4
5
P(x)
0.01
0.15
0.20
0.25
0.30
0.09
Find the expected value and variance of X.
Soiution
P(x)
xP(x)
xP(x)
2
3
4
5
E[xP{x)] =
ExP{x)] =
%3D
a. Expecte:d Value
b. Variance
..... au ..](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fedeb552b-f08b-4d8c-9112-495aa18796ee%2F09ff029e-e0f1-4180-ad9d-e752effa1a9d%2Fryjxyt3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:ACTIVITY 3.1 SOLVE THE FOLLOWING PROBLEMS
1. A researche: surveyed the household in a remote. The random variable X represents the nuimter or
high school graduates in the households. The probability distribution of X is shown below.
1
2
3
4
P(x)
0.02
0.18
0.30
0.40
0.10
Find the expected value and variance of X.
Solution
P(x)
xP(x)
xP{x)
1
3
4
Z[xP(x)] =
Z[X*P({x)] =
а. Еxpected
b. Variancee
1. The random variable x represents the number of taxis cabs a doctor meets on his way to thel'ospital.
The probability distribution of X is given in the following distribution table.
3
4
5
P(x)
0.01
0.15
0.20
0.25
0.30
0.09
Find the expected value and variance of X.
Soiution
P(x)
xP(x)
xP(x)
2
3
4
5
E[xP{x)] =
ExP{x)] =
%3D
a. Expecte:d Value
b. Variance
..... au ..
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