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kirill115 [55]
3 years ago
11

I need help with the whole front

Mathematics
1 answer:
NikAS [45]3 years ago
3 0
5. 6/10-2/10=4/10 or 2/5 or 1/2.5
6. 4/5-1/5=3/5 or 1.5/2.5
7. 3/4-2/4=1/4 or .5/2
8. 4/6-2/6=2/6 or 1/3 or .5/1.5
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8 0
3 years ago
Suppose that x is normally distributed with mean 110 and standard deviation 30.
scoray [572]
Standard the random variable X using the transformation

Z=\dfrac{X-\mu}\sigma

where \mu and \sigma are the mean and standard deviation of X, respectively.

\mathbb P(X\ge170)=\mathbb P\left(\dfrac{X-110}{30}\ge\dfrac{170-110}{30}\right)=\mathbb P(Z\ge2)

Now, you can recall that for any normal distribution, approximately 95% of its data falls within 2 standard deviations of the mean, so to either side, there is approximately 2.5% of data that falls below 2 standard deviations from the mean, and 2.5% that falls 2\sigma above \mu. In other words, \mathbb P(Z\ge2)\approx0.025.
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