Answer:
X
−
4.2
Step-by-step explanation:
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
The company should expect 235 in sales
plug in 50 for x, 2.1 times 50 is 105, 105 + 130 is 235, y = 35.
Answer:
A
Step-by-step explanation:
The only one you can eliminate on sight is C. You are going to get an x^3 somewhere along the line.
You can eliminate D on sight as well. The x^3 term is 12x^3 not 7x^3
Doesn't leave much does it?
(3x + 2)(4x^2 - 2x - 7)
3x: 12x^3 - 6x^2 - 21x
2 : 8x^2 - 4x - 14
======================= Add
12x^3 + 2x^2 - 25x - 14
Answer: A
A=9+16=25
B=36+64=100
C=25+144=169
D=64+1600=1681XxXxXx
D is the answer becuase the pathagreiam theirum is
