Answer:
175
Step-by-step explanation:
35 * 5 = 175
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
Based on the definition of an angle bisector, there is an erro in line 1, because, BC is an angle bisector.
<h3>What is an Angle Bisector?</h3>
An angle bisector is a line segment that bisects an angle into congruent parts.
In the proof given, since C is the incenter of the isoscles triangle ABD, therefore, line segment BC bisects ∠ABD.
This implies that BC is an angle bisector of ∠ABD not altitude.
Therefore, based on the definition of an angle bisector, there is an erro in line 1, because, BC is an angle bisector.
Learn more about an angle bisector on:
brainly.com/question/24334771
