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3 years ago

15

Work out the value of 5x-2y when x=-2 and y=-3

1 answer:

max2010maxim [7]3 years ago

3 0

I guess this how it would go
<span><span><span>(5)</span><span>(<span>−2</span>)</span></span>−<span><span>(2)</span><span>(<span>−3</span>)</span></span></span>

So your answer should be <span>−4</span>

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A normal population has mean μ-9 and standard deviation σ-5. Round the answers to fou decimal places. Part 1 What proportion of

Anvisha [2.4K]

Answer:

a) $P(X$

And we can find this probability using the normal standard table or excel:

$P(z$

b) $P(X\frac{5-\mu}{\sigma})=P(Z>\frac{5-9}{5})=P(z>-0.8)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>-0.8)=1-P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the variable of interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(9,5)$

Where $\mu=9$ and $\sigma=5$

Part a

We are interested on this probability

$P(X$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X$

And we can find this probability using the normal standard table or excel:

$P(z$

Part b

We are interested on this probability

$P(X>5)$

If we apply the z score formula to our probability we got this:

$P(X\frac{5-\mu}{\sigma})=P(Z>\frac{5-9}{5})=P(z>-0.8)$

And we can find this probability using the complement rule and the normal standard table or excel and we got:

$P(z>-0.8)=1-P(z$

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