Alice is a good gambler and always knows when to stop. Suppose in a game, in each round she has a winning probability of 0.8 and she will stop at the first loss. Try to find the upper bound on the probability that she can win at least 10 rounds using Markov's inequality.

Answers

Answer 1

Answer:

The answer is "0.500".

Step-by-step explanation:

The chance that round will be won, [tex]P (win) =0.8[/tex]

The likelihood of losing round by complementary law

[tex]P(loss) = 1 -P(win)\\\\[/tex]

            [tex]=1-0.8\\\\=0.2\\\\[/tex]

Let X be the number of rounds to the first loss played.

Here, [tex]X \sim Geometric (p=0.2)[/tex]

The PMF of X is the following:

[tex]P(X=x)=p(1-p)^x\\\\[/tex]

        [tex]=(0.2)(1-0.2)^x\\\\=(0.2)(0.8)^x, \ \ \ \ \ x=1,2,.....[/tex]

The mean of X is the geometric random variable property, [tex]E(X) =\frac{1}{P}= \frac{1}{0.2}=5\\\\[/tex]

Markov's Inequality:

Suppose X is any random variable that has no negatives. So,

[tex]P(X \geq s)\leq \frac{E(X)}{s} for s >0\\\\[/tex]

Find the upper bound of [tex]P (X \geq 10)[/tex]

[tex]P(X \geq 10) \leq \frac{E(X)}{10}[/tex]

                 [tex]=\frac{5}{10}\\\\=\frac{1}{2}\\\\=0.5\\\\[/tex]

 The highest probability is, therefore, that Markov's inequality will win at least ten rounds: 0.500


Related Questions

I am the number that is 5,000 greater than the smallest number u can make using six of the digits what number am I?——————————————
Only can use 1 8 3 4 9 6 2 7 I think..

Answers

12,351,789

ignore this ------

12346789

+      5000

----------------

12351789

May someone please help me with this :)

Answers

Answer: It would be option D :)

Step-by-step explanation: the formula for volume in a cylinder is π r squared times height. You plug those in and that’s your answer!

Find the vertex of the parabola whose equation is y = -2x2 + 8x - 5.

A-(2, 27)
B-(2, 19)
C-(2, 3)

WILL MARK BRAINLIEST -JAYVEE

Answers

I believe the answer to your question is A
I promise the answer is a

The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance

Answers

Answer:

There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

Step-by-step explanation:

Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78

Using calculator :

Sample mean, xbar = 79.06

Sample standard deviation = 9.85

Sample size, n = 17

H0 : μ = 77

H1 : μ > 77

The test statistic : (xbar - μ) ÷ (s / sqrt(n))

(79.06 - 77) ÷ (9.85 / sqrt(17))

2.06 ÷ (9.85 / sqrt(17))

= 0.8623

The Pvalue from Tscore :

Pvalue = 0.20063

Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77

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Answers

i believe the answer is 36/100

Answer:

Step-by-step explanation:

To find each probability you will state the probability of the first event happening and multiply it by the chance of the second event happening.  

P(2 Nickels):  6/10 x 5/9 = 30/90 (1/3 chance)

P(2 Dimes):  4/10 x 3/9 = 12/90 (4/30 chance)

P(1 nickel and 1 dime): 6/10 x 4/9 = 24/90 (8/30 chance)

I hope this helps :D

2+2x+x2 but x=5 need help

Answers

Answer:

22

Step-by-step explanation:

Answer:

6x

Step-by-step explanation:

because i said so 2+2+2=6 and x=5 but two x=10

In the expression 8k + 5. which best describes what 8 represents?​

Answers

Answer:

it represents a variable

Step-by-step explanation:

The number 8 is the coefficient of the variable k.

What is a coefficient?

A coefficient in mathematics is a multiplicative factor in a polynomial term, a series term, or an expression. It is typically a number, but it can also be any expression. They may also be referred to as parameters if the coefficients are variables in and of themselves.

Given that the expression is 8k + 5. In the given expression the number 8 is the coefficient of the given expression.

To know more about coefficient follow

https://brainly.com/question/17469127

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how to read a q q q q q q q q q q q q q q q q q

Answers

Your read from left to right. Read intensively if you want to practice the fundamentals and learn vocabulary. Intensive reading is focused more on individual details of what you’re reading.

hope this helped <3

Answer:

This is how to read a

Pronounce it with your mouth open as in "ah" then smile with an "ee" sound. Say "Ay" and that's how you say A or "Ah"

How to read Q? Just pronounce it as "Kyuu" or when reading it say "Ck" with a sharper sound.

Hope this helped!

Write the Recursive form and next of the following sequence

8,10,12,14,16...

Answers

Answer:

Step-by-step explanation:

The recursive form is a(n + 1) = a(n) + 2, with a(1) = 8.

The next term is a(6) = a(5) + 2, which heere is a(6) = 16 + 2 = 18

Mr. Bennett wants to evaluate the cost of a warehouse. He
estimated the warehouse to be 400 feet long and 150 feet
wide. The actual dimensions of the warehouse are 320 feet
long and 100 feet wide. What was the percent error in
Mr. Bennett's calculation of the area of the warehouse?
Round to the nearest hundredth.
I NEED HELP

Answers

Answer:

-46.677%

Step-by-step explanation:

The computation of the percent error is shown below:

As we know that

Area of the warehouse = length × width

Based on estimated values, the area is

= 400 × 150

= 60,000

And, based on actual values, the area is

= 320 × 100

= 32,000

Now the percent error is

= (32,000 - 60,000) ÷ 60,000 × 100

= -46.677%

When building a house, the number of days required to build varies inversely with the number of workers. One house was built in 20 days by 28 workers. How many days would it take to build a similar house with 14 workers?

Answers

Answer: 152 days

Step-by-step explanation:

Answer:

152 days

Step-by-step explanation:

Hope it helps u

FOLLOW MY ACCOUNT PLS PLS

I need to find the diameter of a circle and the line in the middle is 3/5 cms

Answers

Answer:

1.2

Step-by-step explanation:

There are 2 lines in the middle of the circle. Im guessing by you saying "The line in the middle" You must mean the radius your trying to find the diameter so, the radius is half of the diameter so to find the diameter you do the radius x 2 in this case 3/5x2 equals 1.2 :)

I Hope this helps!!

Why is it important to know the background of a poet.

Answers

Answer:

To understand their poems better

Step-by-step explanation:

First you have a general knowledge on why the author made the poem

Second you now have more info to use in order to understand the poems

Third is the same reason why there are people in history books.

Find the surface area (help me please ╥﹏╥ )​

Answers

Answer:

100

Step-by-step explanation:

Add all of the inches together including the parts you don't see.

one side is 9 inches. there are 8 sides. so 9x8. One side in the box is 7 inches. there are 4 sides. so 7x4.  9x8 + 7x4 is equal to 72 + 28.

72 + 28=100

Each day that a library book is kept past its due date, a $0.30 fee is charged at midnight. Which ordered pair is a viable solution if x represents the number of days that a library book is late and y represents the total fee?

(–3, –0.90)
(–2.5, –0.75)
(4.5, 1.35)
(8, 2.40)

Answers

Answer:

The last option is correct

WXYZ is a parallelogram. Find the measure of angle Z

Answers

Given:

The figure of a parallelogram.

To find:

The measure of angle Z.

Solution:

We know that, the consecutive interior angles of a parallelogram are supplementary angles, it means there sum is 180 degrees.

In the given figure angle W and angle Z are supplementary angle. So,

[tex]m\angle W+m\angle Z=180^\circ[/tex]

[tex](18b-11)^\circ+(9b+2)^\circ=180^\circ[/tex]

[tex](27b-9)^\circ=180^\circ[/tex]

[tex](27b-9)=180[/tex]

Adding 9 on both sides, we get

[tex]27b=180+9[/tex]

[tex]27b=189[/tex]

[tex]b=\dfrac{189}{27}[/tex]

[tex]b=7[/tex]

Now,

[tex]m\angle Z=(9b+2)^\circ[/tex]

[tex]m\angle Z=(9(7)+2)^\circ[/tex]

[tex]m\angle Z=(63+2)^\circ[/tex]

[tex]m\angle Z=65^\circ[/tex]

Therefore, the correct option is C.

When light arrives and leaves a reflecting surface the angle with the line perpendicular to the surface is what?

Answers

Answer:

the angle of reflection is the angle between the reflected wave and the "normal" (the perpendicular line to the reflecting surface).

Step-by-step explanation:

Answer:

The angle which the light leaves or bounces off a surface is angle of reflection.

Step-by-step explanation:

has two types of light rays. The incoming ray and the outgoing, or reflected, ray. The angle between the incident ray and an imaginary perpendicular line drawn to the surface of the mirror is called the angle of incidence.

What is the difference between a monomial and a polynomial?

Answers

Answer:

Is that your answer

A 12ft basketball hoop casts an 8 ft shadow. Find the length of the shadow of a 4 ft tall fence.

Answers

Set up a ratio of height over shadow for each :

12/8 = 4/x

Cross multiply:

12x = 32

Divide both sides by 12:

X = 2 2/3 feet

The shadow is 2 2/3 feet.

Tell whether the angles are complementary or supplementary. Then find the value of x.​

Answers

Answer:  Complementary     x=15

Step-by-step explanation:

Complementary angles add up to 90°, supplementary angles add up to 180°.

We know they add up to 90 so...

3x+45=90

3x=45

x=15

Explain the error in the solution below. What
additional step needs to be completed?
log x - log5^3 = 2log5^3
log x = 3log5 ^3
log x = log5 3^3.
x = 27

Answers

Answer:

x = 1953125

Step-by-step explanation:

log x - log 5^3 = 2 log 5^3

log x - 3 log 5 = 6 log 5

log x = 9 log 5 = log 5^9

x = 5^9

 x = 1953125

This is the equation: f(x)=x^2

e) Is f(x) symmetric? If so, what is the equation of the line of symmetry?

f) Does f(x) have a maximum or minimum? If so, at what point?

g) What are the x-intercept(s) of f(x)?

Answers

Answer:

e) yes, symmetric around the y-axis

f) minimum at (0,0)

g) x-intercept at 0

Step-by-step explanation:

Tell which value of the variable is the solution of the equation 30 = 6w W = 3, 5, 6, 8??

Answers

Answer: w=5

Step-by-step explanation: Hope this help

I need help fast and for real no bots

Answers

Answer: d. 201.06

Step-by-step explanation:

To find area of a circle we use the equation 2pi(r) or in this case 2*pi(16)= 804.25in^2 but since we are looking for the shaded region which is 1/4 or one-fourth of the circle so divide 804.25/4 to get 201 or specifically 201.06

Consider this diagram of quadrilateral ABCD, which is not drawn to scale.
Which two statements must be true based on the information indicated by the diagram?

A. AC=~ BD

B. Triangle ABC =~ Triangle CDA

C.AB =~ DC

D. Angle ABD =~ Angle DBC


Answers

Option A,Option B and Option C is correct

What is parallelogram?

Parallelogram is 4 sided closed figure with opposites parallel and equal

Given,AB=CD

AD=BC

Since, its opposite sides are equal, it is a parallelogram.

∴ΔABD≅ΔBCD

AC= BD(By CPCTC)

B. Triangle ABC =~ Triangle CDA ( Since its a parallelogram)

C.AB =DC(Given)

D. Angle ABD =~ Angle DBC(wrong)

Therefore,Option A,Option B and Option C is correct

Learn more about quadrilaterals

https://brainly.com/question/16691874

#SPJ2

Answer:

( B )              △ABC ≅ △CDA

( C )                    AB ≅ DC

Step-by-step explanation:

Khan Academy;

ABC = CDA, but ≅ means approximately which is also true.

AB = DC, because the distance matches.

7x-12+3x+28=180 degrees
Please help ASAP

Answers

Answer:

180 degrees

Step-by-step explanation:

i think im not sure???????                                                                                                                      i hope im right

you put it in the question

Answer = 180


7x+3x =10x
-12+28=16
So,
10x+16=180
10x=164
x

5 + 5
A)3
B)6
C)10
;D

Answers

Answer:

C) 10

Step-by-step explanation:

lol

The answer is C which is 10

In the figure below, m<3 = 136. Find m <1, m<2, and m<4 please explain

Answers

Answer:

angle 3=angle (vertical opposite angle)

angle 3 +angle 2=180°(by linear pair)

136°+angle 2=180°

angle 2=180°-136°

angle 2=44°

angle 2=angle 4(by vertical opposite angle)

PLEASE ASAP HELP!!! ​

Answers

The correct answer is D

A carpet cleaner charges $50.97 to travel to the customers house and $15.11 per room cleaned. In the carpet cleaner charged $96.97 how many rooms did he clean?

Answers

3 rooms. 3.0443415 round to the nearest whole number. .
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