It takes Amir 4 seconds to run from his front door to the mailbox. If he can run at a top speed of 6.5 m/s, how far is it from h
1 answer:
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Answer:
Answer:
The graph will be 2 units away from the origin on positive
and three units upward from the origin towards
.
Step-by-step explanation:
Here is a graph attached with it.
To graph we know that positive
is a
shaped from the origin.
Key points:
- To move rightward there must be a negative inside the parentheses.
- And to move upward we must have positive
.
If we have to move towards then we must have negative inside it.
And if we have to move upward in positive we must have positive constant value.
So the graph will be three units upward and two units rightward with a V-shaped ray.
Answer:
Bias for the estimator = -0.56
Mean Square Error for the estimator = 6.6311
Step-by-step explanation:
Given - A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and X2. The mean is estimated using the formula (3X1 + 4X2)/8.
To find - Determine the bias and the mean squared error for this estimator of the mean.
Proof -
Let us denote
X be a random variable such that X ~ N(mean = 4.5, SD = 7.6)
Now,
An estimate of mean, μ is suggested as
Now
Bias for the estimator = E(μ bar) - μ
=
=
=
=
=
= 3.9375 - 4.5
= - 0.5625 ≈ -0.56
∴ we get
Bias for the estimator = -0.56
Now,
Mean Square Error for the estimator = E[(μ bar - μ)²]
= Var(μ bar) + [Bias(μ bar, μ)]²
=
=
=
=
=
=
=
= 6.6311
∴ we get
Mean Square Error for the estimator = 6.6311