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
dem82 [27]
2 years ago
7

and are independent Gaussian (Normal) random Variables. has mean 13.9 and variance 5.2; has mean 6.9 and variance 3.8. . (a) Cal

culate
Mathematics
1 answer:
omeli [17]2 years ago
8 0

This question is incomplete, the complete question is;

X and Y are independent Gaussian (Normal) random Variables. X has mean 13.9 and variance 5.2; Y has mean 6.9 and variance 3.8. . (a) Calculate P( W> 10)

Answer:

P( W> 10) is 0.1587

Step-by-step explanation:

Given that;

X ⇒ N( 13.9, 5.2 )

Y ⇒ N( 6.9, 3.8 )

W = X - Y

Therefore

E(W) = E(X) - E(Y)

= 13.9 - 6.9 = 7

Var(W) = Var(X) + Var(Y) -2COV(X.Y)

[ COV(X,Y) = 0 because they are independent]

Var(W) = 5.2 + 3.8 + 0

= 9

Therefore

W ⇒ N( 7, 9 )

so

P( W > 10 )

= 1 - P( W ≤ 10 )

= 1 - P( W-7 /3   ≤   10-7 /3 )

= 1 - P( Z ≤ 1 )           [ Z = W-7 / 3 ⇒ N(0, 1)  ]

from Standard normal distribution table, P( Z ≤ 1 )  = 0.8413

so

1 - P( Z ≤ 1 )  = 1 - 0.8413 = 0.1587

Therefore P( W> 10) is 0.1587

You might be interested in
Show how to use unit multipliers to convert 4 hours to seconds.
blondinia [14]

Answer:

4 hours = 14400 seconds.

Step-by-step explanation:

i) In 1 hour there are 60 minutes

ii) in 1 minute there are 60 seconds

iii) therefore 1 hour = 60 minutes

                               = 60 \times 60 seconds

                               = 3600 seconds

iv) therefore to convert 4 hours to seconds we have to multiply the number of hours by 3600 seconds

      therefore 4 hours = 4 \times 3600 seconds = 14400 seconds.

8 0
3 years ago
what is the surface area of a conical grain storage tank that has a height of 54 meters and a diameter of 18 meters
sweet [91]
If it is a cylinder, it should be 3562.57
3 0
3 years ago
Read 2 more answers
If x = 5, y = 3 and z = 9 then evaluate the following expression: x-y+z=
Alex_Xolod [135]
<span> x-y+z=

x = 5
y = 3
z = 9

(5) - (3) + (9) = 
2 + 9 = 11

11 is the answer.

</span>
5 0
3 years ago
The runic cube company packages its 1/4ft, cubes in boxes that are 1 1/2 ft by 1ft by 3/4 ft. How many Rubio cubes can the compa
Rainbow [258]
1/4+1 1/2+3/4=2.5
hope this helps!!!!!
3 0
3 years ago
Read 2 more answers
What is the answer for | 3x - 2 | = 8 and | x + 1 | = 1
Umnica [9.8K]
X = -2

3 x -2 = -6
-6 -2= -8
|-8| = 8

-2 + 1= -1
|-1|=1
8 0
2 years ago
Other questions:
  • The least common multiple of two numbers is 30. if you add the two numbers, the sum is 21. what are the numbers?
    6·1 answer
  • Can you help me with the problem?
    13·1 answer
  • I need help please! thank you . ‼️
    5·2 answers
  • Rectangle ABCD has coordinates A(-2,4), B(8,4), C(8,-6), and D(-2,-6) Aiesha transforms the rectangle by using the rule (x,y)-&g
    11·1 answer
  • Write a proportion to find how many points x a student needs to score on a test worth 50 points to get a test score of 40%.
    5·1 answer
  • If the scale factor for the dilation shown is 3, which is the length of B’C’? 5/3 8 12 15
    13·2 answers
  • I'd appreciate it if anyone could help out as soon as possible!
    13·1 answer
  • Ana had made 26 million bars of soap in a year but Kelly made 260 billion how much more did Kelly make
    15·1 answer
  • Cynthia invests
    8·1 answer
  • Which pair of angles are supplementary?
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!