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4 years ago

5

the ratio of lynx to mountain lions and wolverines in the park is 2:3:1. So far every 2 lynx there are 3 mountain lions and 1 wo

lverine

1 answer:

marusya05 [52]4 years ago

5 0

Hat sounds right to me

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Determine the unit of measurement that best represents each scenario.

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Answer:

pounds, ounces, tons

Step-by-step explanation:

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2 years ago

6.4f 24 water bottles weigh 30 pounds, how much would a shipment of 150 water bottles weigh?

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120 pounds

Step-by-step explanation:

24÷30 =0.8

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2 years ago

Larry, Barry, Terry are saving their money for a trampoline that costs $340.

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Answer:

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3 years ago

Can anyone PLEASE help geometry is my worst subject!

seropon [69]

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3 years ago

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

4 years ago