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Question 1: Short answer

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The normal density satisfies φ′(x)=φ(x) μ−xσ2\varphi'(x) = \varphi(x)\,\dfrac{\mu - x}{\sigma^2}. For the standard normal (μ=0\mu = 0, σ=1\sigma = 1), what is φ′(1)\varphi'(1)? Round to 3 decimals.

a negative number, 3 decimals