Let x have a normal distribution with mean µ = 30 and standard deviation σ = 10. calculate p(x > 40), and round your answer to two decimal places.

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aangellexith686 aangellexith686

22-07-2018
Mathematics

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Let x have a normal distribution with mean µ = 30 and standard deviation σ = 10. calculate p(x > 40), and round your answer to two decimal places.

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Pitymys Pitymys · Answer 1 · 2018-07-30T08:52:05+02:00

Pitymys Pitymys

30-07-2018

The random variable X is normally distributed with mean μ=30 and standard deviation σ =10. Use the transformation [tex] \frac{X-\mu}{\sigma} [/tex] for calculating the probability. This value is called Z-score.

The Z score is [tex] Z=\frac{40-30}{10} =1 [/tex].

Refer to the standard normal distribution table.

The probability

[tex] P(X>40)=P(Z>1)=1-P(Z<1)=0.16

[/tex]

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