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]
3 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]3 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
Solve the problem below. In the space below, show your work, then explain in paragraph form how you solved it. Use precise mathe
vazorg [7]
I also need help on this question. Someone please help out
5 0
3 years ago
Help! Please!
algol [13]

Answer:

$22.11. $23.41. $23.79.

Step-by-step explanation:

2.36 ÷ $32.00 = 0.0735. Sales tax was charged by the department store at a rate of 7.375%.

Answer: Mr. Smith should pay the department store $32.00 plus $2.36 in sales tax for a total bill of $34.36.

Sales tax rates vary from state to state. Retail sales tax rates are set by the individual states in the United States and vary from 0 to 9% of the sales price. Sales tax is usually the responsibility of the merchant to collect and submit to the state, and stated separately (or implicitly added at the time of the sale) to consumers. Let's look at some

6 0
2 years ago
Lennon has a checking account. He withdrew $130 from an ATM Tuesday. Wednesday he deposited $240. Friday he wrote a check for $5
Nuetrik [128]

Answer:

Step-by-step explanation:

0 - 130 = -130

-130+240 = 110

240 - 56 = 184

The change is 184 dollars

5 0
3 years ago
What is -7 (5-4x)=21
Ray Of Light [21]
-35 + 28x = 21

28x = 56

x = 2
8 0
3 years ago
I NEED HELP!!!!<br> what is the solution for x=4?
umka2103 [35]

Answer:

its basically just x=4

Step-by-step explanation:

8 0
2 years ago
Other questions:
  • Yo!!!NEED HELP!!!!WILL GIVE BRAIN!!!!!!!
    11·1 answer
  • If m&lt;2 =47°, then what is m&lt;6? How do you know?
    12·1 answer
  • What is the easiest way to solve a division problem that is 1,000 divides by 20
    11·2 answers
  • a ladder that is 20 feet long is leaning against the side of a building if the angle formed between the ladder and the ground is
    15·2 answers
  • What is the general process for solving an equation with one variable?
    14·1 answer
  • Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t
    6·1 answer
  • . One sample has M = 18 and a second sample has M = 14. If the pooled variance for the two samples is 16, what is the value of C
    6·1 answer
  • Lydia feeds her dog everyday from the same bag of dog food. She opened a new bag that contains 52 cups of food. if her dog eats
    15·1 answer
  • PLEASE HELP !!! CORRECT ANSWER GETS BRAINLIEST!!!!​
    8·2 answers
  • Find the circumference of the circle and show work
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!