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hoa [83]
3 years ago
9

For a standard normal random variable, what z-score has (a) probability 0.175 to the right?

Mathematics
1 answer:
Mumz [18]3 years ago
7 0
Answer: 0.935

Explanation: 

Let S = z-score that has a probability of 0.175 to the right. 

In terms of normal distribution, the expression "probability to the right" means the probability of having a z-score of more than a particular z-score, which is Z in our definition of variable Z. In terms of equation:

P(z ≥ S) = 0.175   (1)

Equation (1) is solvable using a normal distribution calculator (like the online calculator in this link: http://stattrek.com/online-calculator/normal.aspx). However, the calculator of this type most likely provides the value of P(z ≤ Z), the probability to the left of S.

Nevertheless, we can use the following equation:

P(z ≤ S) + P(z ≥ S) = 1 
⇔ P(z ≤ S) = 1 - P(z ≥ S)  (2)

Now using equations (1) and (2):

P(z ≤ S) = 1 - P(z ≥ S)
P(z ≤ S) = 1 - 0.175 
P(z ≤ S) = 0.825

Using a normal distribution calculator (like in this link: http://stattrek.com/online-calculator/normal.aspx),

P(z ≤ S) = 0.825
⇔ S = 0.935 

Hence, the z-score of 0.935 has a probability 0.175 to the right.
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Find the area of circle o if DCBO is a rectangle and DB measure 10 units
Dmitrij [34]

Answer:

100\pi

Step-by-step explanation:

Step 1: Identity the radius.

Since O is the center of the circle, and C and E lie on the circumference, OC and OE are the radii of the circle and thus,

OC=OE.

Step 2: Consider the rectangle.

All diagonals in a rectangle are congruent so this means

DB= OC ( OC is also a diagonal).

Thus, OC= 10 units.

Step 3: Analyze

So this means OE is also 10 units as well.

Since we know the length of the radius, Use the area of circle,

\pi {r}^{2}

\pi( {10}^{2} ) = 100\pi

So the area of a circle is 100 pi.

3 0
2 years ago
Read 2 more answers
If m varies directly with x 2 , and m = 10 when x = −4, find the value of m when x = 3
mestny [16]
If it is directly proportional, then:

m = kx
10 = k x -4
k = -2.5

m = 3 x -2.5
m= 7.5

Hope I helped!
7 0
3 years ago
Can 3/8 be simplified eney more
AnnZ [28]
No, 3/8 is as simplified as it gets. This is because 3 and 8 have no common factors other than 1.
7 0
3 years ago
the volume of a sandbox shaped like a rectangular prism is 48 ft3. the height of the sandbox is 2 feet, the width is w feet and
Effectus [21]
Lwh=v
2*w*(w+2)=48
2w^2+4w=48
w^2+2w-24=0
(w+6)(w-4)=0
w= - 6 or w= 4
Since w cannot be negative, then w=4.
3 0
3 years ago
What is the answer to this: 1-n=7/12
Zanzabum
You can add, subtract, multiply, and divide things on both sides of the equation as long as you do the same thing to the other side so 
if i add n to this side 

1-n+n

i must add it to the other side 

1-n+n= 7/12 +n

1=7/12 + n 
 
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1 - 7/12= 7/12 - 7 /12 + n 

5/12= n

hope this helps!
5 0
3 years ago
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