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Aleksandr [31]
2 years ago
8

Assume the random variable X is normally distributed with meanmu equals 50μ=50and standard deviationsigma equals 7σ=7.Compute th

e probability. Be sure to draw a normal curve with the area corresponding to the probability shaded.Upper P left parenthesis 35 less than Upper X less than 65 right parenthesisP(35
Mathematics
1 answer:
nekit [7.7K]2 years ago
6 0

Answer:

P(35

And we can find this probability with the following difference and using the normal standard table or excel we have:

P(-2.143

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(50,7)  

Where \mu=50 and \sigma=7

We are interested on this probability

P(35

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(35

And we can find this probability with the following difference and using the normal standard table or excel we have:

P(-2.143

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Answer:

5/12 * 300 = 125 times

explain:

I hope this answer can help

3 0
3 years ago
A dog is standing 5 feet from the base of a tree, looking up at a cat that has climbed 16 feet up the tree. What is the angle of
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Answer:

x=72.6

Step-by-step explanation:

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5 0
3 years ago
8x+9y=-28 <br> -4x=y<br> solve the system by subsitution
bixtya [17]

Answer:

x= 1

y = -4

Step-by-step explanation:

8x + 9y = -28

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8x + 9(-4x) = -28

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8 0
2 years ago
Read 2 more answers
Find ,H assuming the triangles formed are similar.
Murljashka [212]

Answer:

15

Step-by-step explanation:

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6 0
3 years ago
What is the area of a regular nonagon (9 sides) with side length of 15 cm and apothem of 20.6 cm? Round the answer to the neares
Triss [41]
We know that

<span>The nine radii of a regular Nonagon divides into 9 congruent isosceles triangles
</span>therefore
[the area of <span>a regular nonagon]=9*[area of isosceles triangle]

</span>[area of isosceles triangle]=b*h/2------> 15*20.6/2----> 154.5 cm²
so
[the area of a regular nonagon]=9*[154.5]------> 1390.5 cm²

the answer is
1390.5 cm²

5 0
3 years ago
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