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:
A is the correct answer.
Step-by-step explanation:
First do 6 times 6 and then do 36 times 3.14 to get 113.04.
Then do 4 times 4 to get 16 times 3.14 for 50.24
Last do 113 minus 50 for 63 squared.
Answer:
D
Step-by-step explanation:
when factoring, the two numbers that you get after you factor are also called solutions, or x intercepts. from this, we know that since the line crosses at positive 1 and positive 9, the answer must be -1 and -9 as you flip the sign after factoring to get the real answer
(ps you can also just plug in all of the answer choices to desmos and see which one matches your graph)
