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Use the following information to calculate a z-score. LaTeX: \mu\:=\:500μ = 500 LaTeX: \sigma\:=\:100σ = 100 LaTeX: x\:=\:475x = 475 Which of the following options is LaTeX: P\left(x\le475\right)P ( x ≤ 475 )?

Respuesta :

Answer:

z-score = -0.25

[tex]P(x \leq 475) =0.401[/tex]

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 500

Standard Deviation, σ = 100

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

We have to evaluare

:[tex]P( x \leq 475) = P( z \leq \displaystyle\frac{475 - 500}{100}) = P(z\leq -0.25)[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(x \leq 475) =0.401 =40.1\%[/tex]

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