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Lelechka [254]
3 years ago
7

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

o two decimal places.
Mathematics
1 answer:
Gnesinka [82]3 years ago
8 0

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

The Z score is Z=\frac{40-30}{10} =1.

Refer to the standard normal distribution table.

The probability

P(X>40)=P(Z>1)=1-P(Z

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