1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
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.
You might be interested in
Write the number as a percent. 3.1 0.31% 3.1% 31% 310%
Gnoma [55]

Answer:

310%

Step-by-step explanation:

to convert to percent multiply by 100, 3.1*100=310

7 0
2 years ago
Use the distributive property to show why the product (-6)(-3) is positive .
Alla [95]

Porque menos por menos es más es una regla

Si multiplicas (-6)(-3) La respuesta es 18 es positivo porque se cumple la regla de menos por menos es más

REPASA

MENOS POR MENOS = MÁS

MÁS POR MÁS = MÁS

MAS POR MENOS = MENOS

MENOS POR MAS = MENOS

3 0
3 years ago
How can you tell the zeros of this function by looking at the graph? What are the zeros of the function?
Harrizon [31]
Zero points are these points, where your graph cross x-axis (vertical). And zeros are x values for these points
7 0
3 years ago
Read 2 more answers
9,240 yd= how many mi?
gizmo_the_mogwai [7]

Answer:

5.25 miles

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A water ballon is launched straight up. The balloons flight is modeled by the function h(t)=16t^2+192t
lubasha [3.4K]

Answer:Step by Step Solution

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    h*(t)-(16*t^2+192*t)=0

STEP

1

:

Equation at the end of step 1

 ht -  (24t2 +  192t)  = 0

STEP

2

:

STEP

3

:

Pulling out like terms

3.1     Pull out like factors :

  ht - 16t2 - 192t  =   t • (h - 16t - 192)

Equation at the end of step

3

:

 t • (h - 16t - 192)  = 0

STEP

4

:

Theory - Roots of a product

4.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

4.2      Solve  :    t = 0

 Solution is  t = 0

Equation of a Straight Line

4.3     Solve   h-16t-192  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  h-16t-192  = 0 and calculate its properties

Graph of a Straight Line :

 

Calculate the Y-Intercept :

Notice that when h = 0 the value of t is 12/-1 so this line "cuts" the t axis at t=-12.00000

 t-intercept = 192/-16 = 12/-1  = -12.00000

Calculate the X-Intercept :

When t = 0 the value of h is 192/1 Our line therefore "cuts" the h axis at h=192.00000

 h-intercept = 192/1  = 192.00000

Calculate the Slope :

Slope is defined as the change in t divided by the change in h. We note that for h=0, the value of t is -12.000 and for h=2.000, the value of t is -11.875. So, for a change of 2.000 in h (The change in h is sometimes referred to as "RUN") we get a change of -11.875 - (-12.000) = 0.125 in t. (The change in t is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     =  0.125/2.000 =  0.062

Geometric figure: Straight Line

 Slope = 0.125/2.000 = 0.062

 h-intercept = 192/1 = 192.00000

 t-intercept = 192/-16 = 12/-1 = -12.00000

t = 0

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • A 100 foot ladder is leaning against a tree so that the top of the ladder is 96 feet above the ground. How far is the base of th
    10·2 answers
  • Just the answer please
    13·2 answers
  • A caterer for a wedding reception wants to use a recipe for eggplant salad that recommends using 1.8 kg of eggplant for 10
    8·1 answer
  • The points plotted below satisfy a polynomial equation. What type of extreme value does the graph have in the part that is visib
    9·1 answer
  • (1,4) and (8,2)<br> What’s the distance
    8·2 answers
  • Charlie runs at a speed of 3 yards per second .about how many miles per hour does charlie run?
    12·1 answer
  • Evaluate each expression when a= - 4 and b= 3 ab
    10·1 answer
  • Is this solvable or simplifiable
    10·2 answers
  • Find the slope of the line.
    11·1 answer
  • Solve two sevenths plus seven fourteenths (2 points)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!