Mathematics College

The following is the distribution of a random variable X.
X=0, 1, 2, 3
P(X)=0.1, 0.3, 0.4, 0.2
Find E(X)​

Answers

Answer 1

Answer:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Step-by-step explanation:

For this case we have the following probability distribution given:

X       0     1      2     3

P(X)  0.1  0.3  0.4  0.2

And for this case the expected value with the following formula:

[tex] E(X) =\sum_{i=1}^n X_i P(X_i)[/tex]

And replacing we have:

[tex] E(X)= 0*0.1 +1*0.3 +2*0.4 +3*0.2 [/tex]

And adding the values we got:

[tex] E(X) =0 +0.3 +0.8 +0.6 = 1.7[/tex]

So then the expected value for this random variable would be [tex] E(X) =1.7[/tex]

Related Questions

A bag contains 4 red marbles, 2 blue marbles, 1 purple marble, and 3 green marbles.

If a single marble is pulled out of the bag, how many outcomes are in the sample space?

Answers

Answer:

10 outcomes

Step-by-step explanation:

The number of outcomes is the number of marbles in the bag since we are taking out one marble

4+2+1+3 = 10

There are 10 outcomes

Answer:

10 Thank you Person above me I knew the answer but I am saying thank you because my cousin is happy that you showed your answer to them and answered for them Have a good day or a good life hopefully life don´t do bad  things in life

Step-by-step explanation:

Milly measured a cereal box it was 2inches wide six inches long and three inches what is the volume

Answers

Answer:

2*6*3

Step-by-step explanation:

Volume = 6×2×3 = 36 feet cubed

which type of graph would you use to show the number of candy bars collected by each trick or treater in the neighborhood​

Answers

Answer:

bar graph

Step-by-step explanation:

y axis = number of kids

X axis = types of candy bars

PLZ HELP ME


The graph shows the solution to which system of inequalities?

A) y < -2x + 4 and y < 2x + 4

B) y < -2x + 4 and y ≤ 2x + 4

C) y > -2x + 4 and y ≤ 2x + 4

D) y ≤ -2x + 4 and y ≤ 2x + 4

Answers

Answer:

  see below

Step-by-step explanation:

The shading is below the line in both cases. The dashed line has negative slope, so the inequality associated with it is ...

  y < -2x +4 . . . . . . note that the < symbol has no "or equal to"

The solid line has positive slope, so its inequality is ...

  y ≤ 2x +4

Both these inequalities are found in choice B.

solve the equation 12x+6y=24 for x ? i need help

Answers

Answer:

x=  -1/2y+2

Step-by-step explanation:

Let's solve for x.

12x+6y=24

Step 1: Add -6y to both sides.

12x+6y+−6y=24+−6y

12x=−6y+24

Step 2: Divide both sides by 12.

12x

12

=

−6y+24

12

x=

−1

2

y+2

Answer: x=  -1/2y+2

Hope this helps.

Answer:

x=2−y/2

Step-by-step explanation:

Mr. Vectadore is buying two new cowboy hats. All
together the hats cost $75.12. The second hat costs
twice as much as the first hat. What is the price of the
more expensive hat?
Round to the nearest hundredth.

Answers

Answer:

$50.08

Step-by-step explanation:

Let's use x to represent the lesser expensive hat and 2x to represent the more expensive hat since the more expensive hat is twice the price.

So, our equation would be 2x + x = 75.12

We can combine them together to make 3x.

Then, we make the 3x equal to 75.12

3x = 75.12

Now, we solve it.

Divide both sides by 3 to solve for x.

75.12/3 = 25.04

x = 25.04

Lastly, plug it in for 2x to get the price of the more expensive hat.

2(25.04) = ?

2(25.04) = 50.08

Therefore, the price of the more expensive hat is $50.08

please answer quick ! 6 9/10 - 2 2/9 = ?

Answers

Answer:

4 61/90

Step-by-step explanation:

6 - 2 = 4

9 / 10 - 2 / 9 = 61 / 90

The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively.
URGENT
Approximately how many spheres the size of Pluto does it take to have the same volume as Earth?
A.121
B. 154
C. 165
D.176
E.189

Answers

Answer:

A

Step-by-step explanation:

Write the equation of the line, given the y- and x-intercepts:

y-intercept (0, 19), x-intercept (–9.5, 0)

Answers

Answer:

y=2x+19

Step-by-step explanation:

Slope: 0-19/-9.5-0=-19/-9.5=2

y-intercept: 19

Answer:

y=2x+19

Step-by-step explanation:

in the coordinate plane, ABCD has vertices with coordinates A(1,-1), B(-5,3), C(-3,6),
and D(3,2)

Answers

Answer:

C

Step-by-step explanation:

Round 43.597 to nearest hundred

Answers

43.6 because you round

Sphere A has a radius of 24 centimeters, and sphere B has a diameter of 42 centimeters. The radius of sphere A is
multiplied by what factor to produce the radius of sphere B?
0을
o
Noo
100
Na

Answers

The correct answer is 100

Write the number pairs that relate the number of half dollar to the number of dimes

Answers

Answer:

0.10 + 0.10 + 0.10 + 0.10 + 0.10 equal to 5 dimes or a half of dollar.

Step-by-step explanation:

0.10 + 0.10 + 0.10 + 0.10 + 0.10 = 0.50 (half of a dollar)

8. Simplify the rational expression.
3x-27
3x + 3

Answers

Answer:

below

Step-by-step explanation:

3(x-9)

3(x+1)

divide by a gcf and place it outside the parenthesis.

At the Boxer carnival, you can exchange 40 tickets for various assortments of
prizes. Some of those assortments are below. How many tickets does it take
to get a single tacky mirror?
1 goldfish, 2 tacky mirrors, 1 stuffed tiger
5 goldfish, 1 stuffed tiger
2 goldfish, 3 tacky mirrors

Answers

Answer:

g = number of tickets for goldfish

t = number of tickets for tacky mirrors

s = number of tickets for stuffed tiger

1g + 2t + 1s = 40

5g +     + 1s = 40

2g + 3t         = 40

using the second equatin we can find a value for s

1s = 40 -5g

now substitute in the first equation to get rid of s

1g + 2t + (40-5g) = 40

-4g + 2t         = 0

now use this new equation with equation 3 and solve for one of the values

-4g + 2t = 0

2g + 3t  = 40

multipy the second equation by 2 and then combine

-4g + 2t = 0

 4g + 6t = 80

8t = 80

t = 10  (so it takes 10 tickets to get a takcy mirror)

2g + 3(10) = 40

2g = 10

g = 5  (five tickets to get a goldfish)

s = 40 -5(5)

s = 15  (fifteen tickets for a stuffed tiger)

1(5) + 2(10) + 1(15) (substitute back in the first equation)

5 + 20 + 15

40                    it works!

If you were to roll one die, one time what is the probability it will land on a number other than 3?

Answers

Answer:

3

Step-by-step explanation:

Answer:

1/6 (16.667%)

Step-by-step explanation:

there is six sides on on the dice. So there is only one side of the dice that has the number 3. 1/6 is the probability.

Please answer this correctly

Answers

Answer:

13

Step-by-step explanation:

Find the scale factor by 39 / 30

Take that times 10

1.3 x 10 = 13

Since the questions states these two shapes are "similar" the side will have identical scale factors.

Divide the longest side of the bigger shape to the smaller shape.

39 / 30 = 1.3

The scale factor is 1.3.

Now, multiply the shortest side if the smaller shape by the scale factor.

10 * 1.3 = 13

Therefore, the length of w is 13mm

Best of Luck!

Question 3 (1 point)
What is the value of x in the equation 8+4 = 2(x - 1)?
a
11/2
b
13/2
c
5
d
7

Answers

Answer:

D. 7

Step-by-step explanation:

(8+4) = 2(x-1) multiply (x-1) by 2

(8+4) = 2x-2 add 8 and 4

12 = 2x-2 add 2 on both sides

14 = 2x divide both sides by 2

7 = x

Answer is D

12 = 2x - 2

14 = 2x

14/2 = x

7 = x

A greenhouse contained both 6-inch high geraniums and 3 inch high geraniums. The 6-inch high geraniums were taken out of the greenhouse in early spring and grew at a rate of 1 inch per week. The 3 inch high geraniums remained in the greenhouse and grew at a rate of 1 (1/2) inches per week. After the 6-inch high geraniums were taken outside, in how many weeks were both groups of geraniums the same height.

Answers

Answer:

6 weeks

Step-by-step explanation:

Let the number of weeks be x.

Then we have an equation:

6 + 1*x = 3 + 1 1/2 x6 + x = 3 + 1.5x1.5x - x = 6 - 30.5x = 3x = 3/0.5x = 6 weeks

So after 6 weeks both 6-inch and 3-inch geraniums will have same height

there were 632 animals gathered at the river. a herd of 187 elephants and 266 zebras left the river area. how many animals were still at the river?​

Answers

Answer: There was a total of 173 animals left by the river

Step-by-step explanation:187+266 = 453

You subtract 453 from the total number of animals which is 632

632-453 = 179

A group of dancers raised some money for a charity here is some information about the money raised
One of the dancers is chosen at random to give the money raised to the charity
What is the probability that this dancer raised less then £10

Answers

Answer:

19/30

Step-by-step explanation:

out of 60 people 38 dancers earned less than 10, so the fraction is 38/60 and simplified its 19/30

if a binomial event has a probability of success of 0.5, how many successes would you expect out of 2000 trials

A.1000
B.600
C.1800
D.1400

Answers

Answer:

1000

Step-by-step explanation:

a binomial event only has two possible outcomes

P(success) = .5

Multiply the probability of success by the number of trials

.5*2000 =1000

The bar graph below shows the number of aluminum cans collected by students in the month of October. How many cans did seigi and Ariel collect together

Answers

Answer:

1 2 3 4 5 6 7 8 9 10 bars are there

What is the area of triangle QRS?
7 square units
9 square units
10 square units
13 square units

Answers

Circumscribing a rectangle around the triangle SQR, as shown in the figure, we see that the rectangle has dimensions 3 by 6, so its area is 18 square units.


We can also see that the area between the rectangle and the triangle SQR consists of 3 right triangles with dimensions 2 by 3; 6 by 2, and 1 by 4.

The area of there 3 triangles is (2*3)/2 + (6*2)/2 +(1*4)/2 = 3+6+2=11. 


Thus, the area of the triangle is what is left from removing the areas of the 3 surrounding triangles from the area of the rectangle:

A(SQR)=18-11=7 (square units).


Answer: 7 square units

Answer:

A 7

Step-by-step explanation:

What is the slope of the equation y-3=-4(x-5) ?

Answers

Answer:

m(slope)=-4

Step-by-step explanation:

the slope is the thing you see before x so in this case y-3=-4x+20 so the slope or m is -4.

The slope of the equation y - 3 = -4 ( x - 5 ) is -4.

Given,

y - 3 = -4 ( x - 5 )

We need to find the slope of this equation.

What is the equation of a line with a slope?

The equation is given by:

y - b = m ( x - a)

Where (a, b) is a point that the line passes through and m = slope.

We have,

y - 3 = -4 ( x - 5 )

Here we see that the equation is in the form of y - b = m ( x - a).

Where,

(a, b) = (5, 3)

m = -4

We have,

Slope = m

m = -4

Thus the slope of the equation y - 3 = -4 ( x - 5 ) is -4.

Learn more about how to find slope from a graph here:

https://brainly.com/question/23164168

#SPJ2

Which Function is shown in the Graph?

Answers

Answer:

A is the correct answer

Step-by-step explanation:

Hope i helped :)

What is the value of | -9 | ?!!!!

Answers

Answer:

9

Step-by-step explanation:

Step-by-step explanation:

|-9|=9

..

because inside | | numbers are always positive

How many decimal places are in the product of the expression below?
256
x142
one
two
three
four

Answers

Answer:

36352.0

Step-by-step explanation:

For 256x142 = 36352.0

There is none actually

what is the solution for x^2 +14x +15​

Answers

...................................

Step-by-step explanation:

the solution are

x = 1 or x = -15

x^2 + 14x - 15 =0

x^2 + 14x = 15

to write the left hand side as a perfect square we add 49 to both sides :

x^2 + 14x + 49 = 15 + 49

x^2 + 2.x.7 + 7^2 = 64

using the identity (a^2 + b^2) = a^2 + 2ab + b^2

(x + 7)^2 = 64

x + 7 = √64 or x + 7 = -√64

x = 8 - 7 or x = - 8 - 7

= 1 = - 15

Sparkle Cleaners uses 2/3 of a jug of window cleaner in 3 weeks. How much window cleaner do they use in 1 week?

Answers

Answer: 2/9th of a bottle

Step-by-step explanation:

2/3 of a jug = 3 weeks

1 week =( 1 x 2/3) / 3

= 2/3 x 1/3 = 2/9

They use 2/9 of a jug of window cleaner in 1 week.

What is a fraction?

Fractions represent the parts of a whole or collection of objects.

A fraction has two parts. The number on the top of the line is called the numerator and the number on the top of the line is called the denominator.

Now it is given that,

Cleaner used =  2/3 of a jug

Number of weeks = 3

So, Cleaner used in 1 week = Cleaner used / Number of weeks

⇒ Cleaner used in 1 week = (2/3) / 3

⇒ Cleaner used in 1 week = 2/9 of a jug

Thus,they use 2/9 of a jug of window cleaner in 1 week.

To learn more about fractions:

brainly.com/question/445498

#SPJ2

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