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:
3 is the correct answer
Step-by-step explanation:
because
Step-by-step explanation:
.
Answer:
They are both linear
Step-by-step explanation:
1.
Use rise/run to find the slope of the line.
rise=21.8
run=1
therefore, the slope is 1/28. You can use that to graph the line. If the line meets the points on your table, it is linear. It does. The equation of the line would be y=21.8x.
2.
We can use the same process as before.
rise=7
run=2
Therefore, slope is 7/2. When this line is graphed it meets all the points, so it is linear.
Alteratively, you could graph the points first and then see if you get the same slope.
30% of the 250 participants were French.
To find how many this is, convert the percent to a decimal and multiply the decimal by the total number of participants.
30% = 0.3
0.3 • 250 = 75
75 of the participants were French.
