Answer:
90% CI expects to capture u 90% of time
(a) This means 0.9 * 1000 = 900 intervals will capture u
(b) Here we treat CI as binomial random variable, having probability 0.9 for success
n = 1000
p = 0.9
For this case, applying normal approximation to binomial, we get:
mean = n*p= 900
variance = n*p*(1-p) = 90
std dev = 9.4868
We want to Find : P(890 <= X <= 910) = P( 889.5 < X < 910.5) (integer continuity correction)
We convert to standard normal form, Z ~ N(0,1) by z1 = (x1 - u )/s
so z1 = (889.5 - 900 )/9.4868 = -1.11
so z2 = (910.5 - 900 )/9.4868 = 1.11
P( 889.5 < X < 910.5) = P(z1 < Z < z2) = P( Z < 1.11) - P(Z < -1.11)
= 0.8665 - 0.1335
= 0.733
Answer:

Step-by-step explanation:
<u><em>The question is</em></u>
How do you write an equation for a circle with center (-15,11) and radius 2?
we know that
The equation of a circle in center radius form is given by

where
(h,k) is the center of the circle
r is the radius of the circle
substitute the given vales


Answer:
V= 42.41
Step-by-step explanation:

where r is the radius = 3 and h is the height = 4.5
×
× 
V = 42.41
Answer: 32
Step-by-step explanation:
48 people at the liberty and there are 3 times the number of adults 48 divided by 3 would be 16 kids and 48 - 16 would be 32
Th answer is c. quotient, because it has to do with multiplication and not addition.