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
Answer:
c=5x
Step-by-step explanation:
:D good luck
Answer:
729 m³
Step-by-step explanation:
Volume of a cube (or a rectangular prism) formula:
lwh
l is length
w is width
h is height
Here, the length, width, and height measures 9 m.
So
9 × 9 × 9 or 9³ = 729
Answer:
$1435.18
Step-by-step explanation:
determine the amount of an investment if 700$ is invested at an interest rate of 8% compounded monthly for 9 years
Formula: A(t)=P(1+r/n)^(nt)
A(9) = 700(1+0.08/12)^(12*9)
A(9) = 700(1+0.00667)^(108)
A(9) = 700(2.05026
A(9) = $1435.18
