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3 years ago

What is the relationship between 8.76×10^6 and 8.76×10^2

Mathematics

2 answers:

aleksley [76]3 years ago

7 0

Answer:

$\frac{8.76*10^{6}}{8.76*10^{2}}=\frac{1000000}{100}=10000$

dusya [7]3 years ago

6 0

<span>Number 8.76×10^6 is </span>10,000 times greater than <span>8.76×10^2</span>

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A normally distributed random variable with mean 4.5 and standard deviation 7.6 is sampled to get two independent values, X1 and

mr Goodwill [35]

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

$\mu = \frac{3X_{1} + 4X_{2} }{8}$

Now

Bias for the estimator = E(μ bar) - μ

= $E( \frac{3X_{1} + 4X_{2} }{8}) - 4.5$

= $\frac{3E(X_{1}) + 4E(X_{2})}{8} - 4.5$

= $\frac{3(4.5) + 4(4.5)}{8} - 4.5$

= $\frac{13.5 + 18}{8} - 4.5$

= $\frac{31.5}{8} - 4.5$

= 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

= $Var( \frac{3X_{1} + 4X_{2} }{8}) + 0.3136$

= $\frac{1}{64} Var( {3X_{1} + 4X_{2} }) + 0.3136$

= $\frac{1}{64} ( [{3Var(X_{1}) + 4Var(X_{2})] }) + 0.3136$

= $\frac{1}{64} [{3(57.76) + 4(57.76)}] } + 0.3136$

= $\frac{1}{64} [7(57.76)}] } + 0.3136$

= $\frac{1}{64} [404.32] } + 0.3136$

= $6.3175 + 0.3136$

= 6.6311

∴ we get

Mean Square Error for the estimator = 6.6311

6 0

3 years ago

What is 3p + 2 > -10

bezimeni [28]

Answer:

p> -4

Step-by-step explanation:

3p + 2 > -10

3p > -10 -2

p> -4

7 0

2 years ago

Write two numbers that multiply to the value on top and add to the value on bottom.

Marizza181 [45]

Answer:

Step-by-step explanation:

6 0

3 years ago

a movie theater is located at a, b to get from your house to the movie theater, you walk 4 blocks east and then 5 blocks north.

melomori [17]

W E X-axis

Y-axis

x,y

7 0

2 years ago

The sum of two consecutive integers is 329

saw5 [17]

A = first integer
a + 1 = 2nd integer

a + a + 1 = 329
2a + 1 = 329
2a = 329 - 1
2a = 328
a = 164

a + 1 = 164 + 1 = 165

so ur 2 consecutive integers are : 164 and 165

3 0

3 years ago