How do you do this? question this is a future value formula

You want to estimate the probability that a lightbulb of a famous brand will last more than 6.500 hours. You choose 10,000 bulbs

brilliants [131]

Answer/Step-by-step explanation:

(a) The likelihood function to estimate this probability can be written as:

mat[1000, 9800]p9580(1 - p)420

(b) The value of the maximum likelihood estimate of the probability 0.958(By taking log of expression in (a) above)

(c) when the true probability is 98%, then it implies that 9800 of 10,000 bulbs did last over 6500hours.

Therefore, the likelihood is p(9800) = mat[10000, 9800]p9800(1 - p)200

(d) Method of moments estimate is the estimation of all the parameters of the population sample.

(e) The statement is FALSE because estimates by the method of moments are not necessarily sufficient statistics, because sometimes fail to take into account all relevant information in the sample. As in the above question

4 0

3 years ago

Use the factors of the function and the y-intercept to find the standard form of the equation representing Jared’s function. Typ

Georgia [21]

The y-intercept of a function is the point where the graph crosses the $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

The factors of the Jared's graph are: (x - 10), (x + 3) and (x + 9)
The y-intercept is -13.5
The standard equation of the function is: $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

(a) The factors

First, we write out the points where the function cross the x-axis.

The points are:

$\mathbf{x = 10}$

$\mathbf{x = -3}$

$\mathbf{x = -9}$

Equate the above points to 0

$\mathbf{x -10 = 0}$

$\mathbf{x +3 = 0}$

$\mathbf{x +9 = 0}$

Hence, the factors are: (x - 10), (x + 3) and (x + 9)

(b) The y-intercept

This is the point where the graph crosses the y-axis.

From the attached graph, the graph crosses the y-axis at -13.5.

Hence, the y-intercept is -13.5

(c) The standard form

In (a), we have:

$\mathbf{x -10 = 0}$

$\mathbf{x +3 = 0}$

$\mathbf{x +9 = 0}$

Multiply the above equations

$\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 \times 0 \times 0}$

$\mathbf{(x - 10) \times (x + 3) \times (x + 9) = 0 }$

Expand

$\mathbf{(x - 10) \times (x^2 + 3x + 9x + 27) = 0 }$

$\mathbf{(x - 10) \times (x^2 + 12x + 27) = 0 }$

Expand

$\mathbf{x^3 + 12x^2 + 27x - 10x^2 - 220x - 270 = 0 }$

Collect like terms

$\mathbf{x^3 + 12x^2 - 10x^2+ 27x - 220x - 270 = 0 }$

$\mathbf{x^3 + 2x^2 - 193x - 270 = 0 }$

Replace 0 with y

$\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

Hence, the standard form is: $\mathbf{y = x^3 + 2x^2 - 193x - 270 }$

Read more about graphs and functions at:

brainly.com/question/18806107

3 0

2 years ago

4 thousands ÷ 10 = ________hundreds ÷ 10 =

Andreyy89

The answer is 10,000,000

5 0

3 years ago

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What is sin -1(1/2) if the terminal side of 0 is located in quadrant 1.

kotykmax [81]

Answer:

30

Step-by-step explanation:

$\sin^{-1}(\theta)$ is going to output a number in between $\frac{-\pi}{2}$ and $\frac{\pi}{2}$ .

Luckily you are looking for $\theta$ in the 1st quadrant which is contained in the given interval above, so the answer just comes down to what the calculator returns from entering $\sin^{-1}(\frac{1}{2})$ in your calculator.

You may also use the unit circle. sine value refers to the y-coordinate on there.

So you are looking for when the y-coordinate is 1/2 in the fist quadrant which is at 30 degrees.

4 0

3 years ago

PLEASE HELP FAST! A yogurt shop allows its customers to add, for no charge, 3 toppings to any yogurt purchased. If the store has

Kisachek [45]

Answer:

the answer is 8

4 0

3 years ago

Read 2 more answers