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<h2 class="hd hd-2 unit-title">Variance</h2>
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<h2 class="hd hd-2 unit-title">Class 5 reading questions: 1</h2>
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Problem 1
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A random variable [mathjaxinline]X[/mathjaxinline] takes values [mathjaxinline]1[/mathjaxinline], [mathjaxinline]2[/mathjaxinline] and [mathjaxinline]4[/mathjaxinline] with probabilities [mathjaxinline]0.2[/mathjaxinline], [mathjaxinline]0.3[/mathjaxinline] and [mathjaxinline]0.5[/mathjaxinline] respectively. </p>
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What is [mathjaxinline]\text {Var}(X)[/mathjaxinline]? </p>
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<h2 class="hd hd-2 unit-title">Continuous random variables</h2>
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<h2 class="hd hd-2 unit-title">Class 5 reading questions: 2</h2>
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Suppose [mathjaxinline]X[/mathjaxinline] is a continuous random variable with pdf [mathjaxinline]f(x)[/mathjaxinline]. </p>
<p><b class="bf">(a)</b> What is the total area under the graph of [mathjaxinline]f[/mathjaxinline]? </p>
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<p><b class="bf">(b)</b> Can [mathjaxinline]f(x)[/mathjaxinline] be greater than 1? </p>
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<p><b class="bf">(c)</b> Can [mathjaxinline]\int _ a^ b f(x)\, dx[/mathjaxinline] be greater than 1? </p>
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<p><b class="bf">(d)</b> If 3 is in the range of [mathjaxinline]X[/mathjaxinline] what is [mathjaxinline]P(X=3)[/mathjaxinline]? </p>
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