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A random sample of n= 100 observations is selected from a population with u = 30 and o = 21. Approximate the probabilities shown below.a. P(x =>28)

Respuesta :

ANSWER:

0.83

STEP-BY-STEP EXPLANATION:

We have that the formula corresponding to the problem is the following:

[tex]P(\bar{x}We replace the corresponding values and we are left with the following:[tex]\begin{gathered} P(\bar{x}\ge28)=P(Z\ge\frac{28-30}{21}\cdot\sqrt[]{100}) \\ P(\bar{x}\ge28)=P(Z\ge-0.9524) \\ P(\bar{x}\ge28)=P(Z<0.9524) \end{gathered}[/tex]

For this value of Z, the probability is 0.83

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