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VARVARA [1.3K]
3 years ago
9

I dont know i need help please

Mathematics
1 answer:
Minchanka [31]3 years ago
8 0

Answer:

C

Step-by-step explanation:

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Suppose a continuous probability distribution has an average of μ=35 and a standard deviation of σ=16. Draw 100 times at random
yulyashka [42]

Answer:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For sums, we have that the mean is \mu*n and the standard deviation is s = \sigma \sqrt{n}

In this problem, we have that:

\mu = 100*35 = 3500, \sigma = \sqrt{100}*16 = 160

This probability is the pvalue of Z when X = 4000 subtracted by the pvalue of Z when X = 3000.

X = 4000

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{4000 - 3500}{160}

Z = 3.13

Z = 3.13 has a pvalue of 0.9991

X = 3000

Z = \frac{X - \mu}{s}

Z = \frac{3000 - 3500}{160}

Z = -3.13

Z = -3.13 has a pvalue of 0.0009

0.9991 - 0.0009 = 0.9982

So the correct answer is:

To use a Normal distribution to approximate the chance the sum total will be between 3000 and 4000 (inclusive), we use the area from a lower bound of 3000 to an upper bound of 4000 under a Normal curve with its center (average) at 3500 and a spread (standard deviation) of 160 . The estimated probability is 99.82%.

5 0
3 years ago
F(x)=3x^3-4x^2+6x and g(x)=5x^3+2x^2-3x<br>what is f(X) AND G (X)
kvasek [131]
This on is very easy go to my website so i can explain it better for you

 <span>https://www.youtube.com/channel/UCaxhPMTZBmFcxAZ4hYpBf_w 
</span>
Hope this 
8 0
3 years ago
Pls help asap!!!<br><br><br><br> Solve for x . 2x=y
OLEGan [10]
The answer to this question is 0
6 0
2 years ago
Help! Please help me find the measure of x, the missing angle shown below -
FromTheMoon [43]

Answer:

x=21.8

Step-by-step explanation:

The angles are complementary, and add to 90 degrees. We know this because of the little square in the corner.

x+68.2=90

Solve for x by isolating it. To do this , subtract 68.2 from both sides

x+68.2-68.2=90-68.2

x=21.8

3 0
3 years ago
Read 2 more answers
(4.7 * 108) + (3.35 x 10)
Bond [772]

Answer: 541.1

Step-by-step explanation:

multiply each set of parenthesis and add the two answers

7 0
3 years ago
Read 2 more answers
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