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
likoan [24]
3 years ago
14

Suppose x is a normally distributed random variable with a mean of 12 and a standard deviation of 3. The probability that x equa

ls 19.62 is _____.
Mathematics
1 answer:
Contact [7]3 years ago
8 0

Answer:

The probability that x equals 19.62 is 0

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In the normal probability distribution, the probability of an exact value, that is, P(X = x) is 0. Thus, the probability that x equals 19.62 is 0

You might be interested in
The figure here shows triangle AOC inscribed in the region cut from the parabola y=x^2 by the line y=a^2. Find the limit of the
aleksandrvk [35]
Area of the parabolic region = Integral of [a^2 - x^2 ]dx | from - a to a =

(a^2)x - (x^3)/3 | from - a to a = (a^2)(a) - (a^3)/3 - (a^2)(-a) + (-a^3)/3 =

= 2a^3 - 2(a^3)/3 = [4/3](a^3)

Area of the triangle = [1/2]base*height = [1/2](2a)(a)^2 = <span>a^3

ratio area of the triangle / area of the parabolic region = a^3 / {[4/3](a^3)} =

Limit of </span><span><span>a^3 / {[4/3](a^3)} </span>as a -> 0 = 1 /(4/3) = 4/3
</span>
 



3 0
3 years ago
Josh decides to take a long walk in a triangle path starting at point A, then moving to point B, then moving to point C, and the
Lera25 [3.4K]

Answer:

do it

Step-by-step explanation:

ggg

7 0
3 years ago
In a rectangle MPKN, the diagonals intersect each other at point O. A line segment OA is an altitude of a triangle MOP, and m∠AO
WINSTONCH [101]

Answer:

72

Step-by-step explanation:

6 0
3 years ago
If w = 6 feet, x = 6 feet, y = 12 feet, and z = 11 feet, what is the area of the object?
klemol [59]
I think it’s D. 102 but it may not be.
8 0
3 years ago
Read 2 more answers
+12&lt;16<br> Please with steps :)
mixas84 [53]

Answer:

0,1,2,3

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • 5x-29&gt;-34 OR 2x+31&lt;29
    5·2 answers
  • What is (-7)^2 × (-7)?<br><br> I will mark the Brainliest, thank, and comment!<br><br> Thank you!
    14·1 answer
  • Identify the slope of the line for the equation y = −6x + 5. A) −6 B) −5 C) 5 D) 6
    7·1 answer
  • Fred wants to make brownies. To make brownies, he needs 1/4 of a cup of flour per batch of brownies. If Fred has 10 cups of flou
    10·1 answer
  • You owe $225 on your credit card. You make a $55 payment and then purchase $87 worth of clothes at Target. What is the integer t
    15·1 answer
  • How many edges are there?<br> A. not enough information<br> B. 15<br> C. 7<br> D. 10
    6·1 answer
  • A triangular road sign has a height of 3 feet and a base of 2.5 feet. How much larger in area is this sign than one with a heigh
    8·1 answer
  • Write the equation of a line that is perpendicular to the given line that passes through the given point.
    11·1 answer
  • Plz help with both questions (no link plz) 15 point and will make brainly
    7·1 answer
  • Y is seven times the value of x.<br> The equation is y=
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!