Question

Consider X, a variable whose distribution is normal with a mean of 5 and a variance of 2. We obtain the variable Z by standardizing X. If the value of z is -1 for an individual, what is the value of x for that same individual? Show your approach. (1 point).

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Maude

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97 Answers

1. Utiliser la formule de standardisation :

Z = \frac{X - \mu}{\sigma}

2. Remplacer les valeurs données dans la formule :

-1 = \frac{X - 5}{\sqrt{2}}

3. Résoudre l'équation pour \(X\) :

-1 \cdot \sqrt{2} = X - 5

X = 5 - \sqrt{2}

4. La valeur de \(x\) pour laquelle \(z = -1\) est :

x = 5 - \sqrt{2}

2. Remplacer les valeurs données dans la formule :

3. Résoudre l'équation pour \(X\) :

4. La valeur de \(x\) pour laquelle \(z = -1\) est :

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