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3 years ago

Solve all 4 correctly and I’ll give golden brain

Mathematics

2 answers:

abruzzese [7]3 years ago

7 0

Answer:

Step-by-step explanation:

81-16=?

? times 11

its not hard

dolphi86 [110]3 years ago

5 0

D=3, x=-35/8-d, y=-87/20-t, t=73+4x/3x+16

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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

Look at the top questions. Pls I need help asap I don’t get it

vichka [17]

X is the bottom and y is the left side an it should be straight

3 0

3 years ago

A phone company offers two monthly charge plans. In plan A the customer pays a monthly fee of $25 and then an additional 6 cents

blsea [12.9K]

Answer: the cost of plan A would be lesser than that of plan B for minutes lesser than 470

Step-by-step explanation:

Let m represent the number of minutes of monthly phone used.

In plan A the customer pays a monthly fee of $25 and then an additional 6 cents per minute of use. It means that the total cost of using m minutes in a month is

0.06m + 25

In plan B the customer pays a monthly fee of $29.70 and then an additional 5 cents per minute of use. It means that the total cost of using m minutes in a month is

0.05m + 29.7

The inequality representing the number of minutes of monthly phone use for which Plan A will cost less than Plan B is

0.06m + 25 < 0.05m + 29.7

0.06m - 0.05m < 29.7 - 25

0.01m < 4.7

m < 4.7/0.01

m < 470

7 0

3 years ago

Read 2 more answers

David made $80,950 last year. If his income is decreased by 7.25%, what is his adjusted

Taya2010 [7]

Answer:

75081

Step-by-step explanation: multiply 80950 by 0.9275

5 0

3 years ago

The diagram shows a circle of radius 3 cm drawn inside a square . Write down the exact value of the following and state whether

NISA [10]

Step-by-step explanation:

because the circumference

8 0

3 years ago