Ask question

Ask question

All categories

3 years ago

12

Let y be a random variable with p(y) given in the accompanying table. find e(y ), e(1/y ), e(y 2 − 1), and v(y ). y 1 2 3 4 p(y)

.4 .3 .2 .1

1 answer:

Studentka2010 [4]3 years ago

8 0

<span>E[Y] = 0.4·1 + 0.3·2 + 0.2·3 + 0.1·4 = 2 E[1/Y] =0.4·1/1 + 0.3·1/2 + 0.2·1/3 + 0.1·1/4 = 0.4 + 0.15 + 0.0666 + 0.025?0.64 V[Y] =E[Y2]-E[Y]2= (0.4)·12+(0.3)·22+(0.2)·32+(0.1)·42-22= 0.4+1.2+1.8+1.6-4= 5-4 = 1</span>

You might be interested in

A circle has a diameter of 6 centimeters what is the approximate area of the circle

KiRa [710]

Answer:

28.26 $cm^{2}$

Step-by-step explanation:

The radius is half of the diameter. 6/2 = 3, so the radius of this circle is 3 cm.

The formula for the area of a circle is: π $r^{2}$

Plugging 3 into the radius, we have:

$3^{2}$ × π =

9 × π

We can round π to 3.14

9 × 3.14 = 28.26

7 0

2 years ago

Mila has biked 10 miles in 1.5 hours if Mila continues at the same rate,how many miles will she bike in 3 and a 1/2 hours?

Viefleur [7K]

Mike biked 10 miles in 1.5 hours. Mila bikes at the same rate too.

Therefore, she will bike x miles in 3.5 hours

(10/1.5) = (x/3.5)

You cross multiply

1.5x = 10 x 3.5

1.5x = 35

x = 35/1.5

x = 23 miles (approximately)

I hope this helps

6 0

2 years ago

1 2 3 4 5 6 7 8 9 10 TIME REMAINING 54:29 Identify the pattern for the following sequence. Find the next three terms in the sequ

Leya [2.2K]

Hello!

Since the numbers are going up by 4 every time the next 3 are 1, 5, and 9

So the answer is D

Hope this helps!

3 0

2 years ago

Calculate percentage to the nearest 0.1%.

Anna71 [15]

9514 1404 393

Answer:

a. $4.17

b. 233.3%

Step-by-step explanation:

a. The proportion the markup (m) is to the total (t) is ...

m : t = 7 : 10

The total is the cost (c) plus the markup, so we have ...

m : t = 7 : 10 = m : (m +c) = 7 : 7 +3

Then the ratio of total price to cost is ...

t : c = 10 : 3

The menu price of the pie slice will be ...

$1.25 × 7/3 ≈ $4.17

__

b. The ratio of markup to cost is ...

m : c = 7 : 3 ≈ 2.333 = 233.3%

4 0

2 years ago

Write the standard form of the equation of the circle with center (−7,1) that passes through the point (−7,9).

kiruha [24]

Answer:

(x + 7)² + (y - 1)² = 64

Step-by-step explanation:

Use the equation of a circle, (x - h)² + (y - k)² = r²

Plug in the point and center, then solve for r:

(x - h)² + (y - k)² = r²

(-7 + 7)² + (9 - 1)² = r²

0 + 64 = r²

64 = r²

8 = r

Then, plug in the center and r² into the equation:

(x + 7)² + (y - 1)² = 64

So, (x + 7)² + (y - 1)² = 64 is the standard form of the circle's equation

4 0

2 years ago