7. (ASV, Exercise 2.20 ) - 3 points. A fair die is rolled repeatedly. Use precise notation of probabilities of events and random variables for the solutions to the questions below. (a) Write down a precise sum expression for the probability that the first five rolls give a three at most two times. (b) Calculate the probability that the first three does not appear before the fifth roll. (c) Calculate the probability that the first three appears before the twentieth roll but not before the fifth roll.

Answers

Answer 1

Answer:

0.9646 ; 0.5685

Step-by-step explanation:

Given that :

P(obtaining 3 on a die roll) = 1/6 = 0.1667

Obtaining 3 at most 2 times in five trials

Using binomial distribution formula :

P(x =x) = nCx * p^x * (1 - p)^(n - x)

n = 5 ;, p = 0.1667

P(x ≤ 2) = P(x = 0) + P(x =1) + P(x = 2)

Using the binomial probability :

P(x ≤ 2) = 0.4019 + 0.4019 + 0.1608

P(x ≤ 2) = 0.9646

B.) using geometric distribution :

(1 - p)^x-1 * p

P ≥ 5) = 1 - P(x ≤ 4) = 1 - p(x = 0) + p(x = 1) + p(x =2) + p(x = 3)

1 - (0.1667 + 0.1157+0.0965+0.0804)

= 0.5685


Related Questions

Which of these could be the value of x in the triangle below

Answers

Answer:

5

Step-by-step explanation:

A group of 24 people need to take an elevator to the top floor. They will go in groups of eight. They are deciding who will take the elevator on its second trip. Find the number of possibilities.

Answers

Answer:there are 3 groups so yea

Step-by-step explanation:

18 times 3 is 24 so there will have to be 3 elevators

3 ^]^b do yeah and haha I jagged s s

Find the slope of the line that passes through the points (2,5) and (-8,5).
Only give the number of the slope, nothing else.

Answers

y₂-y₁
--------
x₂-x₁

=

5-5
--------
-8-2

0
-----
-10

slope = 0

some plz help because the teacher says that I have to do it by my self I need help

Answers

Answer: I think the red moon is equal to 64 because 64 is half of 128, and I think the purple square is equal to 12 because if you add all of the other shapes, they equal 52 and 64 - 52 is 12.

The line that contains a slope of 1/2 and passes thru the point (-2,-3)

Answers

Answer:

in this question what we have to do please can you tell

What would the radius be?

Answers

Answer:

6m

Step-by-step explanation:

Make a visual model to show the number pattern for 5, 10, 15, 20, 25?

Answers

Answer:

It would be like counting up fives

Step-by-step explanation:

Answer:

It would be going up by 5 every time.

brainliest pls

Step-by-step explanation:

Victor has some model planes. Last weekend, Victor and his grandfather built four more model planes to add to his collection. Now Victor has a total of 42 model planes.

Part A: In the first box, enter an equation to represent the number of planes, x, Victor originally had.

Part B: In the second box, enter the number of planes represented by x in this situation.

Answers

Answer:

x = 42 - 4

x = 38

Step-by-step explanation:

Given that :

Initial number of plane models = x

Number of additional models built = 4

Total number of planes = 42

Total = initial amount + additional amount

42 = x + 4

Make x the subject

42 - 4 = x + 4 - 4

x = 42 - 4

X + 4 = 42

X = 42 - 4

X = 38

Pls help extra points and mark brainlist

Answers

Answer:

80 +30h

Step-by-step explanation:

Answer:

80 + 30h

Step-by-step explanation:

Distribute the 10 over the (8 + 3h). This means: multiply 10 by 8 and by 3h.

10 x 8 = 80

10 x 3h = 30h

10(8 + 3h) = 80 + 30h


2) A pair of jeans costs $80. The store is having a sale for 30% off. What would
the new cost of the jeans be? Show your work.

Answers

Answer:

$56

Step-by-step explanation:

$80 x .3 = $24

$80 - $24 = $56

You can also do $80 x .7 = $56.

Hope that helps!

If 35% of a number is 98 and 80% of the same number is 224, find 45% of that number.

Answers

9514 1404 393

Answer:

  126

Step-by-step explanation:

If n represents the original number, we have

  (35%)n = 98

  (80%)n = 224

We want to find (45%)n.

  (45%)n = (80% -35%)n = (80%)n -(35%)n

  (45%)n = 224 -98 = 126

45% of the number is 126.

The cook took out 54.8 grams of butter, she then found out that she took out 6.9 grams of butter more than she need. How much butter did she need?

Answers

The cool needed 47.9 grams of butter

An electrical completes 1/6 of job in 2/3 hours At this rate how many hours does it take the electrician to complete the job

Answers

Answer:

4 hours

Step-by-step explanation:

6 × 2 = 12

12 ÷ 3 = 4

4 hours is the correct answer

Glad I could help:)

Corey invested $800 in a CD at a simple interest rate. After 24 months, his account was worth $1000.

How much interest did he earn?

What was his interest rate?

Answers

Answer:

made 25%

Step-by-step explanation:

WILL GIVE BRAINLIEST, 100 POINTS
The diagram shows a 6 ft student standing near a tree. The shadow of the student and the shadow of the tree end at point A. What is the height of the tree?

Question 1 options:

90 ft^2

90 ft

18 ft

18 ft^2

Answers

Answer:

18ft

Step-by-step explanation:

:p

The height of the tree is 14 feet.

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

Height of Man= 6 feet

Shadow height= 5 feet

and, Height of tree shadow= 15 feet

So, using Proportion

FE/ BC = FA/ AC

6 / x = 5 / 15

5x= 90

x= 14 feet

Hence, the tree is 14 feet tall.

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Is a -2/3 a integer?Is it also a rational number?

Answers

No it’s not a rational number

What is the measure of A

Answers

Answer: it is about 80%

Step-by-step explanation:

Answer:

i think about 140 degrees

Step-by-step explanation:

A certain type of golfball is tested by a robot that hits the ball with a consistent impact force. The distances this type of ball travels in this test are normally distributed with a mean of 195195195 meters and a standard deviation of 555 meters. Suppose that quality control experts regularly collect random samples of 252525 distance measurements and calculate the sample mean distance in each sample. Assume that the measurements in each sample are independent. What will be the shape of the sampling distribution of the sample mean distance

Answers

Answer:

Approximately normal

Step-by-step explanation:

Since the population is normally distributed, the sampling distribution of the sample mean will also be normally distributed, even when the sample size is small.

The shape of the sampling distribution of the sample mean distance is approximately normal

What is Statistics?

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that The distances this type of ball travels in this test are normally distributed with a mean of 195 meters and a standard deviation of 5

meters.

Suppose that quality control experts regularly collect random samples of 25 distance measurements and calculate the sample mean distance in each sample

When a population is normally distributed, the sampling distribution of the sample mean x will also be normal regardless of sample size.

Since the distribution of distances is normal, the sampling distribution of the sample mean distance will also be normal.

Hence, the shape of the sampling distribution of the sample mean distance is approximately normal

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(a) has no solutions.

(b) has infinitely many solutions.

(c) has exactly one solution.

Answers

Answer and Step-by-step explanation:

Given

ax + by = c

qx + ry = s

(a) the equation has no solutions if a/q = b/r ≠ c/s, when this happens, we say the system of equations has no solution. For example

x + y = 3

x + y = 5

Subtracting first equation from the second we have:

0 = 2 which is impossible.

(b) the equations have infinite solutions if a/q = b/r = c/s, for example

x + y = 2

x + y = 2

Subtracting the first equation from the second we have

0 = 0, since this is always true, then it has infinite solutions.

(c) the equations have unique solutions if a/q ≠ b/r, for example

x + y = 2

x – y = 1

Adding the first and second equation we have

2x = 3, we can get x from here and definitely y, so we have just one solution.

Perform the operation.
(-10x² + 9) + (8x2 – 5x + 7)
HELP ASAP PLS

Answers

Answer:

-2x² - 5x + 16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

(-10x² + 9) + (8x² - 5x + 7)

Step 2: Simplify

Combine like terms (x²):                                                                                  -2x² + 9 - 5x + 7Combine like terms (Z):                                                                                   -2x² - 5x + 16


11.Write the equations of linear and exponential functions that pass through the points (0,9) and (1,3)

Answers

9514 1404 393

Answer:

  y = -6x +9

  y = 9·(1/3)^x

Step-by-step explanation:

In each case, the y-intercept is 9.

Linear

The slope is rise/run = (3-9)/(1-0) = -6, so the equation is ...

  y = mx + b . . . . . . . slope m, intercept b

  y = -6x +9

Exponential

The ratio of value at x=1 to that at x=0 is 3/9 = 1/3. That is the "growth factor," so the equation is ...

  y = 9·(1/3)^x

What is 7÷854 can you answer this question it is hard.

Answers

Answer:

0.00819672131 or 8.19x10^-3

just put it in a calculator

Answer:

Hey! so the answer is 0.00819672

Step-by-step explanation:

Just simply divide

Hoped this helped! Have a great day! Im Eve btw. Also consider marking this brainliest. Thank you in advanced if you do!✨

what does the denominator of 3/2 mean?

Answers

Hello!

The denominator is like the number under the line. So in this case, 2 would be the denominator.

~Sophia


An equation for a line is 3x + 3y = 18.
What are the slope and Y -intercept point?

Answers

Answer:

y = -1x + 6

slope ^   ^ y-intercept

Step-by-step explanation:

3x + 3y = 18

3y = -3x + 18

y = -1x + 6

hope this helps

Answer:

y int: 6 slope: -1

Step-by-step explanation:

Convert to y=mx+b format

3x + 3y - 18 = 0

3x - 18 = -3y

-1x + 6 = y

in mx+b format, m is the slope and b is the y-int:

m = -1

b = 6

Consider the following sets of sample data:
A: $28,200, $34,300, $32,300, $20,800, $36,900, $20,600, $20,000, $29,600, $35,400, $20,200, $20,200, $38,100, $31,300, $38,600
B: 4.77, 3.46, 4.62, 3.30, 3.13, 3.01, 4.69,3.55, 3.57, 4.59, 3.65
Step 1 of 2: For each of the above sets of sample data, calculate the coefficient of variation, CV. Round to one decimal place.

Answers

Answer:

25.3% and 17.6%

Step-by-step explanation:

Can someone please help me
I’m not good at math and I need to multiply this
135
x 62

Answers

the answer is 8370 :)

Timothy brought in brownies for his class on his birthday.
.
.
Each box has 15 brownies in it.
He handed out 1 boxes.
of the brownies had nuts.
Problem:
How many brownies had nuts?

Answers

Answer:

Incomplete problem - reword

Step-by-step explanation:

3 brownies had nuts.

What is a Fraction?

In mathematics, a fraction is used to denote a portion or component of the whole. It stands for the proportionate pieces of the whole. Numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom. The denominator specifies the total number of equal parts in the whole, whereas the numerator specifies the number of equal parts that were taken.

As per the given data:

Brownies in each box = 15

Boxes handed out = 1 [tex]\frac45[/tex]

Brownies with nuts = (1/9) of the brownies

Boxes handed out = 1 [tex]\frac45[/tex] = (9/5) boxes

Total brownies handed out = (9/5) × 15 = 27 brownies

Total brownies with nuts = (1/9) of 27 = (27/9) = 3 brownies with nuts.

Hence, 3 brownies had nuts.

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(The given question is incomplete, the complete question is given below)

Timothy brought in brownies for his class on his birthday. Each box has 15 brownies in it. He handed out 1 4/5 boxes. 1/9 of the brownies had nuts. How many brownies had nuts?

Identify the solution to the system of equations
4x-y=7
-12x+3y=-21

Answers

Answer:

Step-by-step explanation:

The equations are not independent. They represent the same graph.

There are an infinite number of solutions.

Abu solved 231 multiplication problems. Later, he also solved 131 divison problems. How many more multiplication problems than divison problems did Abu solve?

Answers

Answer:

Easy! Abu solved 100 multiplication problems more than division problems

Step-by-step explanation: Just take 231 - 131 = 100 :D

Mia takes a random sample of 10 of her coworkers and asks them each how many pets they have. Assume that
their results are independent, and let X represent the average number of pets in the sample.

Answers

Answer: Each trial isn’t being classified as a success or failure, so X is not a binomial variable.

Step-by-step explanation:

X is not a binomial variable since each trial is not categorized as a success or failure.

What is a binomial variable?

The likelihood of failure increased to the power of the difference between the number of successes and the number of tries is multiplied by the chance of succeeding raised to the power of the number of successes.

The chance of success for the trials in question in a binomial distribution must stay constant. Because there are only two possible outcomes when flipping a coin, the likelihood of doing so is 0.5 for each trial.

Since lX indicates the typical number of pets in the sample and their outcomes are independent, X is not a binomial variable.

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The boy sitting across the aisle from me was reading a book about sharks, which was pretty neat.How does the audio clip contribute to the tone of the story? (2 points)The audio clip explains why the characters took an airplane instead of taking a boat.The audio clip helps the reader feel as though they are flying with the characters.The audio clip makes the reader scared for the safety of all the characters.The audio clip tells the reader that the flight was dangerous, and everyone was nervous.2. (09.01 HC)Read the excerpt from the story Penguin Parade: An Antarctic Adventure and look at the image:The emperor penguins laid their eggs in early spring, and the eggs hatched in late summer. There were several locations where they gathered, and Mom and I researched them all. We decided that Snow Hill Island would be the best place to start taking pictures. 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