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
580/2=290
the airplane flies 290 per half hour.
Well we want to find out how much more will it cost to rent a ski boat than a sailboat for four hours.
All we have to do is Multiply 73 by 4 for the sailboat which gives you $292
Now we do the same for the ski boat. $88 * 4 = $352
So we now have to find out how much more it will cost for a ski boat than a sail boat. All we do is subtract 352 by 292
352
-
292
====
$60
Your answer is $60
Answer:
x=2 y=-5
Step-by-step explanation:
7x-y=19
2x-3y=19
Multiply the first equation by -3
-3(7x-y)=19*-3
-21x +3y =-57
Add this to the second equation to eliminate y
-21x +3y =-57
2x-3y=19
-----------------------
-19x = -38
Divide by -19
-19x/-19 = -38/-19
x = 2
Now we need to find y
7x-y = 19
7(2) -y =19
14 -y =19
Subtract 14 from each side
14-14 -y=19-14
-y=5
Multiply by -1
y = -5
Answer:
D)
Step-by-step explanation:
I think that the response is d), because there is only a single path between any 2 nodes. Like in a tree, a leaf cannot belong to 2 branches.
