Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2}

  1. Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of \lfloor a \rfloor?
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    2. John asked by John
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  2. Given that \displaystyle \int_0^4 x^3\sqrt{9+x^2} dx = a, what is the value of \lfloor a \rfloor?
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    2. John asked by John
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  3. Consider the general case where the two classes have different means and possibly different variances:\displaystyle
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  4. Given two data points in 2 dimensions:\displaystyle \displaystyle \mathbf{x}^{(1)} \displaystyle = \displaystyle (x^{(1)},
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  5. Given two data points in 2 dimensions:\displaystyle \displaystyle \mathbf{x}^{(1)} \displaystyle = \displaystyle (x^{(1)},
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  6. The normal distribution \mathcal{N}(\theta ,1) with with mean \theta and known variance \sigma ^2=1 has pdf\displaystyle
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  7. Given \displaystyle \int_0^{\frac{3\pi}{2}} x^2\cos x \, dx = a - \frac{b\pi^2}{c}, where a, b and c are positive integers and b
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  8. Consider the same statistical set-up as above. Suppose we observe a data set consisting of 1000 observations as described in the
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  9. Recall from the slides that the Gamma distribution can be reparameterized using the two parameters a, the shape parameter, and
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  10. For the two following pmfs with one parameter \theta that are written in the form\displaystyle \displaystyle f_\theta (y)
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