Answer:
v=a+ 2e1= [3 1 1 1] .
Step-by-step explanation:
Let a = and we know that
=±║α║₂= 2.
As we have gone over in class, the formula for v is v= a-e1
with the sign of chosen to avoid subtraction. This gives v=a+ 2e1= [3 1 1 1] .
Disclaimer ;The question is incomplete
Question:
Determine the Householder transformation that annihilates all but the first entry of the vector[1 1 1 1]>Specifically, if
==
what are the values of α and v?
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Answer:
a. If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.
b. If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.
Step-by-step explanation:
This problem should be solved with a binomial distribution sample, but as the size of the sample is large, it can be approximated to a normal distribution.
The parameters for the normal distribution will be
We can calculate the z values for x1=0.47 and x2=0.51:
We can now calculate the probabilities:
If a sample of size 200 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 41.26%.
b) If the sample size change, the standard deviation of the normal distribution changes:
We can calculate the z values for x1=0.47 and x2=0.51:
We can now calculate the probabilities:
If a sample of size 100 is taken, the probability that the proportion of successes in the sample will be between 0.47 and 0.51 is 30.5%.
Answer:
The graph of function g is the graph of function f shifted 6 units up.
Step-by-step explanation:
Given
Required
Compare g(x) to f(x)
Substitute in
<em>This implies that f(x) is shifted 6 units upward to give g(x)</em>