Select the equivalent expression. (a^-2 • 8^7)^2 a. 8^9 b. (8a)^10 c. a^-4 • 8^14

What is the probability that a randomly selected member of a normally distributed population will lie more than 1.8 standard dev

Helen [10]

Answer:

$P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)$

And we can find this probability using the complement rule:

$P(z>1.8)=1-P(z$

And using the normal standard distirbution table or excel we got:

$P(z>1.8)=1-P(z$

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 if interest of a population, and for this case we know the distribution for X is given by:

$X \sim N(\mu,\sigma)$

We are interested on this probability

$P(X>\mu +1.8 \sigma)$

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:

$P(X> \mu +1.8\sigma)=P(\frac{X-\mu}{\sigma}>\frac{\mu +1.8\sigma-\mu}{\sigma})=P(Z>1.8)$

And we can find this probability using the complement rule:

$P(z>1.8)=1-P(z$

And using the normal standard distirbution table or excel we got:

$P(z>1.8)=1-P(z$

5 0

3 years ago

A. C=22d B. C= d + 22d C. C= d + 22 D. D = 22c

Lelu [443]

Step-by-step explanation:

a. that's the best answer that suits the question per day you multiply by 22

6 0

3 years ago

4. CSC X COS X - 2 cos x = 0

Alisiya [41]

Answer:

infinitely many answers, any odd integer n times π/2

ex. π/2, 3π/2, 5π/2

Step-by-step explanation:

we know that cos (π/2) or cos(3π/2) is 0

if one factor is 0, the product is zero, so we will not care about csc(x).

x is any odd integer n times π/2

3 0

3 years ago

In the New Orleans metropolitan area in August 2005, the labor force was 634,512 and 35,222 people were unemployed. In Septem

Lisa [10]

Answer:

Unemployment (August) = 35'222/634'512 ≈ 0.0555 ≈ 5.55%

Employed (August) = 634'512-35'222 = 599'290

Labor force (September) = 634'512-156'518 = 477'994

Employed (September) = 599'290-206'024 = 393'266

Unemployed (September) = 477'994-393'266 = 84'728

Unemployment (September) = 84'728/477'994 ≈ 0.177 ≈ 17.7%

Step-by-step explanation:

8 0

3 years ago

Divide up the number 60 in 2:3:5 ratio.

Dmitriy789 [7]

I will do the homework for you but is is a quiz or test I can only do if it homework

4 0

3 years ago

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