Find the expected value and the variance of the number of times one must throw a die until the outcome 1 has occurred 5 times.

Answers

Answer 1

Answer: E(X) = 30; Var[X] = 180

Step-by-step explanation: This is a Bernoulli Experiment, i.e., the experiment is repeated a fixed number of times, the trials are independents, the only two outcomes are "success" or "failure" and the probability of success remains the same, So, to calculate Expected Value, which is the mean, in these conditions:

[tex]E(X)=\frac{r}{p}[/tex]

r is number of times it is repeated

p is probability it happens

Solving:

[tex]E(X)=\frac{5}{1/6}[/tex]

E(X) = 30

Variance is given by:

[tex]Var[X]=\frac{r(1-p)}{p^{2}}[/tex]

[tex]Var[X]=\frac{5(1-1/6)}{(1/6)^{2}}[/tex]

[tex]Var[X]=5.\frac{5}{6}.6^{2}[/tex]

Var[X] = 180

Expected Value and Variance of the number of times one must throw a die until 1 happens 5 times are 30 and 180, respectively.


Related Questions

I really need help ​

Answers

Answer:

A and D

Step-by-step explanation:

Hope this helps!

Three times the sum of three consecutive integers is 72. What are the integers? a. 4, 5, 6 c. 9, 10, 11 b. 7, 8, 9 d. 6, 7, 8

Answers

Answer:

B

Step-by-step explanation:

7+ 8+ 9= 24

24 x 3= 72

Answer:

The three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

Step-by-step explanation:

Let x, y, and z be the three consecutive integers

The sum of x, y, and z will be: x+y+z

The three times the sum of three consecutive integers is 72.

so the equation becomes:

3(x+y+z)=72

Now, putting x = 7, y=8 and z=9 in the L.H.S equation to check

3(x+y+z)

⇒ 3(7+8+9)

⇒ 3(24)

⇒ 72

Therefore, it is clear that the three integers whose three times the sum of three consecutive integers is 72 will be: 7, 8, 9

AMONG US!
CODE-MRXLFF

Answers

Answer:

I have no idea but thanks for point

Answer:

YASSS AMOUNG USSSSSS

What are the solutions of the quadratic equation? 2 x^2 – 16 x + 32 = 0

Answers

Answer:

X=4,4

Step-by-step explanation:

2 x^2 – 16 x + 32 = 0

2(x^2-8x+16)=0

X^2-(4+4)X+16=0

x^2-4x-4x+16=0

x(x-4)-4(x-4)=0

(x-4)(x-4)=0

X=4,4

So the solution is X=4,4

During the summer months, the prices of nonsmoking rooms with a king-sized bed in hotels in a certain area are roughly Normally distributed with a mean of $131.80 and a standard deviation of $29.12. A travel agent randomly selects prices of nonsmoking rooms with a king-sized bed from 15 hotels in the area. What is the probability that their average cost will be more than $150?
a) 0.0077
b) 0.3678
c) 0.2660
d) 0.1125

Answers

C

If you have a graphing calculator, go to 2nd vars, normalcdf(.

Put 150 for the lower bound and 99999999 for the upper bound. You want to know the probability of all the values over 150. Put 131.8 for the mean and 29.12 for the standard deviation. Click paste.

Your answer will be .266

what is (567x237)x(467x939)
i will mark brainliest

Answers

Answer:

58926938427

Step-by-step explanation:

Answer:

Folow the PEMDAS rules wich show the order in which to do things:

Parenthesis first, then Exponent, then Multiplication/Division and finally Additiion and Subtraction. Therefore we solve whats in parenthesis first then work from there

567x237 is 134,379 and 467x939 is 438,513

now that we solved whats in parenthesis multiply the remaining values:

134,379x438,513=58,926,938,427

58,926,938,427 is correct

Step-by-step explanation:

Give me a highly detailed explanation of the answer to the equation of 1+1.

Answers

Let's solve this question as simply as we can

Step 1:

Add your odd numbers which is one with one

There are many ways in which we can classify numbers, Such as using the terms odd numbers and even numbers and a example of an odd number is one as it can not be divided by 2.

ex. 1 divided by 2 = 0.5

Step 2:

Now after adding our odd number you should turn up with an even number which we know as two.

Even numbers can be divided by 2

ex. 2 divided by 2 = 1

Answer is = 2

Help please by slope and y- intercept

Answers

Answer:

Slope = -3/4Y - intercept = -3

Step-by-step explanation:

y = mx + b

mx = slope

b = intercept

1. Simplify the equation

4y = -3x - 12

2. Divide both sides by 4

y = -3/4 x - 3

3. Make a graph

First start at the y-intercept, (0, -3)*

Then, use the pattern -3/4

It is called rise over run.

But, when the slope is negative you have to go down instead of up. So you have to go down 3 and 4 to the right.

Continue that pattern until you get your result.

But when you have to go to the upper part of the graph go up 3 and over 4 to the left.

Continue this pattern.

This also applies to other graphs.

* = remember a y-intercept always has a 0 as the x - coordinate.

Hope this helped,

Kavitha

PLEASE HELP ASAP 80 POINTS!!!!

Theresa volunteers at a food sheif. when she started, there were 213 oranges. After filling X bags of three oranges each, there were fewer than 51 oranges left. How many bags of oranges did Theresa fill?

Write an expression in terms of X for the number of oranges that Theresa bagged.

Part B: Write an expression in terms of X for the number of oranges that are left (have yet to be bagged).

Part C: Write an inequality using the expression from Part B to represent this scenario.

Part D: Solve the inequality for the variable X. Use opposite operations on both sides of the inequality until you get X on one side of the inequality by itself.

Part E: Did you have to flip the inequality sign? Explain why or why not.

Part F: What does the result from Part D tell you about Theresa's situation? Does the answer make sense? Explain.

Part G: Think about graphing the inequality you found in Part D on a number line. What would it look like?

Choose the correct number:

1. open circle on 54 and arrow pointing right
2. open circle on 54 and arrow pointing left
3. closed circle on 54 in arrow pointing right
4. closed circle on 54 and arrow pointing left​

Answers

Answer:

A- The expression 3x represents the number of oranges that she bagged

B-  213 − 3x (or -3x + 213)

C- 213 − 3x < 51 (or -3x + 213 < 51)

D- x >54

E-Yes, I had to flip the inequality sign because I divided both sides of the inequality by a negative number (-3).

F- x > 54 means Theresa filled more than 54 bags of oranges. It makes sense because if Theresa made more than 54 bags of 3 oranges each, there would be fewer than 51 oranges left over.

G- Number 1 is correct.

Step-by-step explanation:

I did it./ Hope it helped : )

Answer:

everyone mark Praezhan brainleist thank you Praezhan so much

Step-by-step explanation:

AABC has the following angle measures: MLA = 120, MLB = 40, and
mZC = 20. Which lists the sides in order from shortest to longest?

Answers

Answer:

It would be CB, BA, AC

Step-by-step explanation:

Every 6th customer at the flower shop receives a free rose, and every 9th customer receives a free lily.
Which customer will be the first to receive a free rose and a free lily?

Answers

Answer: 18th customer

Step-by-step explanation: Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48

Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72

The customer who will be the first to receive a free rose and a free lily is 18th customer

Given:

Every 6th customer = free rose

Every 9th customer = free Lily

Which customer will be the first to receive a free rose and a free lily?

find the lowest common multiple of 6th and 9th customer

6th customer = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60

9th customer = 9, 18, 27, 36, 45, 54, 63

The lowest common multiple of 6th and 9th customer is 18

Therefore, the customer who will be the first to receive a free rose and a free lily is 18th customer

Read more:

https://brainly.com/question/16054958

Last week, Kira drove 291 miles. This week, she drove n miles. Using n, write an expression for the total number of miles she drove in the two weeks.

Answers

Answer:

d = 291 + n

Step-by-step explanation:

Given that,

Last week, Kira drove 291 miles. Then this week she drove n miles.

We need to find an expression for the total number of miles she drove in the two weeks. It can be calculate by adding distance force 2 weeks. So,

d = 291 + n

Hence, this is the required solution.

Suppose a trapezoid with the vertices (3,-7) , ( 0,5 ) ,(2,5) , and (5,-7 ) was reflected across the x-axis. Which of these would be a vertex of the reflected figure

A. ( -7,5)
B (-3 ,7)
C (2,5)
D(3,-7)

Answers

It’s (-3,7)

Step by step explanation

I am not the best at explaining but he opposite of(3,-7) is (-3,7) the way I did it is way better than the explanation but it’s (-3,7)

28. Which statement is true about the polynomial?

29. What is the degree of the polynomial?

Answers

Answer:

Step-by-step explanation:

28). (C)

29). [tex]6^{th}[/tex] degree

Is 16/60 and 4/15 equivalent ratio

Answers

Answer:

Yes

Step-by-step explanation:

4          x   4    =16

____                _____

15         x   4   = 60

A) -2/3

B) -1/3

C) 1/3

D) 2/3

Answers

Answer:

D

Step-by-step explanation:

(0, -3), (6,1) these are the points

Using the slope formula:

1+3/6-0= 4/6=2/3

Thus, it is D

plz help me thanks so much :)​

Answers

The correct answer is 6
mrs. gorl the answer is 6

-5(2× - 4)=2(x - 8) with work please :)​

Answers

Answer:

Step-by-step explanation:

−5(2)(−4)=2(x−8)

Simplify both sides of the equation.

−5(2)(−4)=2(x−8)

−5(2)(−4)=(2)(x)+(2)(−8)(Distribute)

40=2x+−16

40=2x−16

Step 2: Flip the equation.

2x−16=40

Step 3: Add 16 to both sides.

2x−16+16=40+16

2x=56

Step 4: Divide both sides by 2.

2x/2 = 56/2

x=28

Distribute the -5 to 2x and -4 which would be: -10x+20=2(x-8)
Then distribute the 2 to x and -8 which would be: -10x+20=2x-16
Subtract 20 from both sides:-10x+20=2x-16
-20. -20
10x= 2x-36
Subtract 2x from both sides: -10x=2x-36
-2x. -2x
-12x=-36
Divide -12 from both sides: -12x=-36
-12/-12= -36/-12
So in the end x=3

A store pays $49.14 for an easel. The Store markes up the price by %50. What is the amount the make-up

Answers

Answer:

$56.51

Step-by-step explanation:

Given parameters:

Cost price by the store = $49.14

Amount of mark up = 50%

Unknown:

Make- up price  = ?

Solution:

Since the price was increased by 50% more, to find the mark up price, we can find 50% of the cost price and add the value to the cost price.

Also;

 Make-up price  =( 1 + [tex]\frac{50}{100}[/tex] ) x $49.14

                           = 1.15 x $49.14

                            = $56.51

Which of the following values are solutions to the inequality 5 < 7+ 5x?

Answers

Answer:

x can equal to anything that is 1 and higher

Step-by-step explanation:

The equation is already correct, you just want to get x as a number that would increase the value.

What is the value of h(2)?
-2
-1 0 3

Answers

Answer:

103 is ur answer hope this helps

Answer:

The answer is 0 or C on Edge.

Step-by-step explanation:

Got it right. 2021.

Using reasoning, determine the number of marbles that you would expect to fit if you doubled the diameter

Original diameter was 8cm, could fit 40 marbles. New diameter is 16cm. How many marbles would I fit?

Answers

Answer:

80 marbles

Step-by-step explanation:

8 times 2=16

40 times 2=80

What is 71283922222 E Times 78232 E Divide by 8326.291213?

Answers

Answer:

4333.23777

Step-by-step explanation:

.just type it in the calculator

What are some important things I should put in my notes about ratios(In 6th grade so nothing to high up I wouldn't know about)​

Answers

Answer:

some tips

Step-by-step explanation:

- Ratios can include fraction forms, ex; 5/3. using the word 'to', ex; 5 to 3, and using the colon symbol. 5:3. Do not put ratios in number order like least to greatest values, ever, because the order they come in matter. Make sure to always simplify if possible. ex; 5:25 = 1:5 . thats it, if you get any of the points down then you got it.

what's the distance between (2,10) and (-6,6)

Answers

Answer:

4

Step-by-step explanation:

Answer:

sqrt of 80 , or 8.944272 rounded to the nearest tenth would be 8.9

Step-by-step explanation:

use formula:

d= sqrt(x2−x1)^2+(y2−y1)^2

a+b+c=88
b+c=84
a=2xb
Help!

Answers

Answer:

C=84∘, a=2, c=7

Step-by-step explanation:

Answer:

Sorry, but i need to do my homework as well. The answer is: a=4, b=2, c=82

There are 31 guests at your home for a dinner party. In how many ways could the guests arrange themselves on a four person couch?

Answers

Answer:

7.75

Step-by-step explanation:

The total number of ways could the guests be arranged on a four person couch is 31465.

What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.

Given is that there are 31 guests at your home for a dinner party.

The total number of ways could the guests be arranged on a four person couch is -

C{31, 4} = 31!/{(31 - 4)!4!}

C{31, 4} = (31 x 30 x 29 x 28 x 27!/27! x 4!) = (31 x 30 x 29 x 28)/24 = 31465

C{31, 4} = 31465

Therefore, the total number of ways could the guests be arranged on a four person couch is 31465.

To solve more questions on equations, expressions and polynomials, visit the link below -

brainly.com/question/17421223

#SPJ5

Use the tape diagram to write an equivalent ratio in simplest form. Write your ratio using a colon and no spaces.

Answers

Answer:

4:3

Step-by-step explanation:

There are 8 yellow spots and 6 blue spots

8:6

We can divide each side by 2 since they are both even

8/2: 6/2

4:3

Answer:

4:3

Step-by-step explanation:

(x-8)(2x+5)=0 solve the equation

Answers

Answer:

x=8

Step-by-step explanation:

x= -5/2=-2 1/2= -2.5. If you add all of those up you will get x=8

Hope this helps and have a great day :)

2(x+7)=-4x+14

Solve this for 15 points.

Answers

First, use the distribution property on the left side.
2x + 14 = 4x + 14
Then, isolate both sides so that like terms are on either sides. Subtract 2x from both sides to move x to the right side and subtract 14 from both sides to move the numbers to the left side.
0 = 2x
Lastly, divide by 2 on both sides to find x.
0 = x
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