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
densk [106]
3 years ago
10

Let X be a continuous random variable with a normal distribution with a mean of 10 and a variance of 25. Suppose that you random

ly picked 36 values for X and averaged these values together, calling this new random variable X. Find P(12X). Give your answer as a decimal rounded to four places (i.e. X.XXXX)
Mathematics
1 answer:
lora16 [44]3 years ago
5 0

Answer:

0.0082

Step-by-step explanation:

Data provided in the question:

Mean = 10

Variance = 25

Standard deviation = \sqrt{\text{variance}}[tex]=\sqrt{25}=5

n=36

Given P(12 \leq \bar{x})  

=P(\bar{x} \geq 12)  

=P\left(\frac{\bar{x}-\mu_{x}}{\frac{\sigma}{\sqrt{n}}} \geq \frac{12-10}{\left(\frac{5}{\sqrt{36}}\right)}\right)  

=P(z \geqslant 2 \cdot 4)  

=1-P(z  

By using z-table we get,

=1-0.9918  

= 0.0082.

You might be interested in
Point R is at (3, 1.3) and Point T is at (3, 2.4) on a coordinate grid. The distance between the two points is ____. (Input numb
Free_Kalibri [48]
Distance formula : d = sqrt ((x2 - x1)^2 + (y2 - y1)^2)
(3,1.3)....x1 = 3 and y1 = 1.3
(3,2.4)...x2 = 3 and y2 = 2.4
now we sub
d = sqrt ((3 - 3)^2 + (2.4 - 1.3)^2)
d = sqrt ((0^2) + (1.1^2))
d = sqrt (0 + 1.21)
d = sqrt 1.21
d = 1.1 <===
6 0
4 years ago
Read 2 more answers
Must m in the equation y=mx+b always be a positive number
Nookie1986 [14]
'm' is the slope. 

The answer is no. There could be a negative number, which means that the slope would be decreasing, or as known as a negative slope (negative rate of change). <span />
4 0
3 years ago
Read 2 more answers
Is ✓ 10 greater than, less than or equal to 5? Use the drop-down menus to explain your answer.
Daniel [21]

Answer:

It is less than 5. I don't know how to help you with the rest.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
a box 12 cm long, 5 cm wide and 12 cm height. A cardboard rectangle is inserted along the diagonal to divide the box vertically
Ipatiy [6.2K]

Answer:

The Cardboard dimensions are 13cm in length and 12cm in breadth

Step-by-step explanation:

We can use Pythagoras Theorem to find the length the Cardboard (a²+b²=c²). Let A be 5 and B be 12, we find that C is equivalent to 13. The height is 12, thus the breadth of the Cardboard is also 12. Hope this helps :)

8 0
3 years ago
A right triangle has an area of 50 square inches. If the triangle is an isosceles triangle, what are the lengths of the legs of
Reika [66]
16.6 repeating would be the answer
7 0
4 years ago
Other questions:
  • (3c + 2) + 4(1.3c - 5)
    10·2 answers
  • In the number 1,234,659.088 what is the value in the hundredths place
    12·1 answer
  • Please guys I gotta submit this!!!! Best guesses are okay too.
    5·1 answer
  • Connor made a graph showing the relationship between the day of the week he worked, Monday through Saturday, and the number of s
    10·1 answer
  • In the following graph of F(x) = -(2/3)(x-3)2 + 2 is the preimage of a transformation of G(x)which is the image. What is the map
    15·1 answer
  • One side if the labtop is 9.5 inches and the other side is 14 inches. Using the Pythagorean Theron, what is the length of the di
    11·1 answer
  • Pls helpp!!!!!!!!!!!!!!!!!!
    14·1 answer
  • Plssssssssssss.ssssssssss
    12·2 answers
  • A rectangular countertop has a perimeter of 22 feet and an area of 24 square feet what are the dimensions of the counter
    15·1 answer
  • 1/4 of students in a class play a musical instrument of those students 2/5 also speak a second language. What fraction of the wh
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!