Mean of a discrete random variable.ppt
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Example 6: Find the mean of the probability distribution. X P(x) 0 0.2 1 0.3 2 0.2 3 0.2 4 0.1
Transcript of Mean of a discrete random variable.ppt
Example 6: Find the mean of the probability distribution.X P(x)0 0.21 0.32 0.23 0.24 0.1
Example 6: Find the mean of the probability distribution.
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]X P(x)0 0.21 0.32 0.23 0.24 0.1
Example 6: Find the mean of the probability distribution.X P(x)0 0.21 0.32 0.23 0.24 0.1
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]
Create a column of x∙P(x)
Example 6: Find the mean of the probability distribution.
X P(x) x∙P(x)0 0.21 0.32 0.23 0.24 0.1
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]
Create a column of x∙P(x)
Example 6: Find the mean of the probability distribution.
X P(x) x∙P(x)0 0.2 0(0.2) = 01 0.32 0.23 0.24 0.1
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]
Create a column of x∙P(x)
Example 6: Find the mean of the probability distribution.
X P(x) x∙P(x)0 0.2 0(0.2) = 01 0.3 1(0.3) = 0.32 0.23 0.24 0.1
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]
Create a column of x∙P(x)
Example 6: Find the mean of the probability distribution.
X P(x) x∙P(x)0 0.2 0(0.2) = 01 0.3 1(0.3) = 0.32 0.2 2(0.2) = 0.43 0.24 0.1
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]
Create a column of x∙P(x)
Example 6: Find the mean of the probability distribution.
X P(x) x∙P(x)0 0.2 0(0.2) = 01 0.3 1(0.3) = 0.32 0.2 2(0.2) = 0.43 0.2 3(0.2) = 0.64 0.1
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]
Create a column of x∙P(x)
Example 6: Find the mean of the probability distribution.
X P(x) x∙P(x)0 0.2 0(0.2) = 01 0.3 1(0.3) = 0.32 0.2 2(0.2) = 0.43 0.2 3(0.2) = 0.64 0.1 4(0.1) = 0.4
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]
Create a column of x∙P(x)
Example 6: Find the mean of the probability distribution.
X P(x) x∙P(x)0 0.2 0(0.2) = 01 0.3 1(0.3) = 0.32 0.2 2(0.2) = 0.43 0.2 3(0.2) = 0.64 0.1 4(0.1) = 0.4
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]
Sum the column of x∙P(x)
Example 6: Find the mean of the probability distribution.
X P(x) x∙P(x)0 0.2 0(0.2) = 01 0.3 1(0.3) = 0.32 0.2 2(0.2) = 0.43 0.2 3(0.2) = 0.64 0.1 4(0.1) = 0.4
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]
Sum the column of x∙P(x)
Σ[x∙P(x)]=1.7
Example 6: Find the mean of the probability distribution.
X P(x) x∙P(x)0 0.2 0(0.2) = 01 0.3 1(0.3) = 0.32 0.2 2(0.2) = 0.43 0.2 3(0.2) = 0.64 0.1 4(0.1) = 0.4
𝜇=∑ [𝑥 ∙𝑃 (𝑥 )]=1.7
Σ[x∙P(x)]=1.7
