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

Question

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] · Answer 1 · 2022-06-26T16:19:52+03:00

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

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