Identifying a binomial experiment
In a study conducted by the sponsoring organization of an academic conference, attendees were classified during registration into one of three categories according to their field of interest: General, Applied, or Theoretical. Of the 400 people in attendance, 200 were classified as General, 60 were classified as Applied, and 140 were classified as Theoretical. You randomly select three registration cards (with replacement) of attendees of the conference and record their fields of interest.
This experiment______a binomial experiment.
When you select a registration card, the probabilities associated with each outcome are:
Outcome Probability
General 0.35
Applied 0.45
Theoretical 0.20
Let X be the number of card selections with outcome "General." Then X is a_____binomial random variable with mean E(X) =_____and standard deviation =______.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\text{This experiment is a binomial experiment}}[/tex]

[tex]\text{ The outcome of general = 0.35}[/tex]

[tex]So; If[/tex] [tex]X \sim Binomial (n = 3,p= 0.35)[/tex]

[tex]Then;[/tex]

[tex]Mean,[/tex] [tex]E(X) = np[/tex]

[tex]E(X) = (3)(0.35) \\ \\ E(X) = 1.05[/tex]

[tex]\text{Standard deviation:}[/tex]

[tex]\sigma= \sqrt{np(1-p)} \\ \\ = \sqrt{(3)(0.35)(1-0.35)} \\ \\ =0.826[/tex]

[tex]Thus;[/tex]

[tex]\text{Let X be the number of card selections with outcome "General."}[/tex]

[tex]\mathbf{ Then \ X \ is \ a\ binomial \ random \ variable \ with \ mean \ E(X) \ = \ 1.05}[/tex]

[tex]\mathbf{and \ standard \ deviation = 0.826}[/tex]


Related Questions

What is the answer for this 1/3x=-4/5

Answers

Answer:

x = -12/5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to Right  

Equality Properties

Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of Equality

Step-by-step explanation:

Step 1: Define

1/3x = -4/5

Step 2: Solve for x

[Division Property of Equality] Divide 1/3 on both sides:                              x = -12/5

Can y’all help me on question six?!

Answers

Answer:

The answer is B. 40

Answer:

answer it B which is 40..............

Plzzzzzz answer fast with work.


5G+14=5G-4/4

Answers

This should be 0= -15

What is the value of 4 + 5x when x = 3? (3 points) a 11 b 12 c 17 d 19

Answers

Answer:

D) 19

Step-by-step explanation:

4 + 5x

4 + 5(3)

4 + 15

19

Answer:

D. 19

Step-by-step explanation:

Since x = 3, replace any x in the equation with 3.

4 + 5 (3) =

multiply 5 • 3

4 + 15 = 19

PLEASE HELPPP WILL MAKE BRAINLIEST!!!!!

Answers

Answer:

x=4

Step-by-step explanation:

The left and right sides are equal so:

5x-2 + 4x = 7x-4 + x+6

Collect the like terms and calculate the sum :

9x-2 = 8x+2

Move terms and change it's sign:

9x-8x = 2+2

And finally:

x=4

Also if you solve the equations of the other sides you'll find x₁=0.5 and x₂=4

which the intersection with the previous answer will be x=4

2x - y=5
x + 3y = 7
What is the value of the system determinant?
5
7
6

Answers

Answer:

A=7

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

At the store, you see oranges on sale at 1 pound for 3 dollars. At a different store, your brother sees oranges on sale at 3 pounds for 8 dollars.
Do the oranges cost the same at both stores?
Which store offers a better deal?

Answers

go with the brother

a square pyramid has a volume of 30 cubic millimeters and a height of 5 mm what is the area of the base of the pyramid
PLEASE HELP ME AND IF U GIVE ME A LINK OR A FILE I SWEAR.

Answers

Answer:

Step-by-step explanation:

V=hb/3, where b=area of base

b=3V/h, since V=30mm^3 and h=5mm then

b=3(30)/5

b=18 mm^2

So the area of the base is 18 square millimeters.

Find the common difference of the arithmetic sequence − 16 , − 19 , − 22

Answers

Answer:

3

Step-by-step explanation:

CAN SOMEONE PLEASE HELP ME WITH MY HOMEWORK ILL DO ANYTHING FOR HELP JUST PLEASE HELP ME WITH MY HOMEWORK AND PLEASE EXPLAIN HOW YOU GET YOUR ANSWER I WILL GIVE YOU BRAINLIST

Answers

Answer:

the simplest way to finish your hw is to ask the Q of your hw here instead of asking us to help with your hw

Ask the questions and hope someone will answer em

Can someone help me with my math work please?

Answers

I Will Number All The Answers Below, and give my best explanation :D                          

6.

Jay Has 10 Tallies, When There Is 10 Tallies, Normally It Means the number 10

Madison Only Has 3 Tallies, therefore Madison has 3

Kimberly Has 7 Tallies, Which Means Kimberly has 7

7. You See Those Squares On The Graph? You Are Going to color them out

Jay Has 10 tallies, so you will will those squares out 10 times on Jays side

Madison Has 3 Tallies, so you are going to fill 3 Boxes for maddison

Kimberly Has 7, So you are going to fill Kimberly's box 7 times

8. How Many Bottles Did Kimberly Bring? She Brung 7 Bottles

9. Maddison Brough The Least Bottles, Which is 3

Hope This Helped :D

-Deadly

what is the value of the digit 3 in the number 2341?​

Answers

Answer:

300

Step-by-step explanation:

it's in the hundreds place

2 is in the thousands place and has a value of 2000

3 is in the hundreds place and has a value of 300

4 is in the tenths place and has a value of 40

1 is in the ones place and has a value of 1

when u add it all together u get 2341

hope this helps chu <3

CAMO is a rectangle with diagonals intersecting at W. WA = 4x - 3 , CW = x + 6 , and AO = 22 Find x.

Answers

Answer:

x = 3.5

Step-by-step explanation:

diagonals bisect each other so AW = OW

since AO = 22 then AW = 11

11 = 4x - 3

14 = 4x

x = 7/2 or 3 1/2

Write an algebraic expression that represents 2 less than 18 times a number?

Answers

Answer:

Step-by-step explanation:

18x-2

Answer:

2‹18x

2 is less than 18 timesX

Select the correct answer.
A researcher for a travel company is looking into the prices people are willing to pay for airplane tickets. The company has communicated that the overall population mean is $265 with a standard deviation of $40.93. The researcher has a sample of 130 ticket purchases from one location.
By the central limit theorem, which interval can the researcher be 95% certain that the sample mean will fall within?

Answers

From the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

How to use the Central limit theorem?

We are given;

Population Mean; μ = $265

Population standard deviation; σ = $40.93

Sample size; n = 130

The central limit theorem (CLT) postulates that the distribution of sample mean approximates a normal distribution with larger sample sizes, disregarding the population's distribution.

This implies that sample sizes equal to or greater than 30 are often considered sufficient for the Central limit theorem to hold.

Thus, by the central limit theorem, the interval can the researcher be 95% certain that the sample mean will fall within A. $257.82 and $272.18.

Read more about Central limit theorem at; https://brainly.com/question/17097944

#SPJ2

Answer:

See image below

Step-by-step explanation:

15x^2+5x GCF help. out please

Answers

Answer:

5x is the GCF

Step-by-step explanation:

Pls help with this question.

Answers

Answer:

C. Supplementary angles

Step-by-step explanation:

because they add up to 180°

Answer:

Supplementary angles

Step-by-step explanation:

Supplementary angles b/c the 2 angles would have to equal 180

balance the equation 45=r+13

Answers

Answer:

45=32+13

Step-by-step explanation:

because you need to get 45 on the other side to balance it out

Answer:

32

Step-by-step explanation:

45=r+13

r=45-13

r=32

pls help me...........​

Answers

Answer:

19

Step-by-step explanation:

Use photo math I do that on every math test I take

WERE
BENE
What is the value of x in the equation 1 x - y = 30, when y = 15?
4
8
80
200

Answers

Answer: it will be 45, but for some reason it’s not in your answer choices

Step-by-step explanation:

A photographer uses 112 rolls of film to do a job. It costs £2.40 a
roll and the developing and printing costs are £3.35 a roll. What was
the photographer's total cost?

Answers

Answer:

£644

Step-by-step explanation:

Add 2.40+3.35 then times 112

Which number is prime 9,10,11,12

Answers

Answer:

11

Step-by-step explanation:

A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number.

What is a number system?

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

A prime number is a number that cannot be factored other than 1 and that number is self.

For example, 9 can be written as 3 x 3 thus it will not prime number and 11 cannot be written as two products other than 1 x 11 thus it will be a prime number.

Hence "A prime number is a number that cannot be factored other than 1 and that number is self thus, 11 will be the prime number".

For more about the number system,

https://brainly.com/question/22046046

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Adding & Evaluate 6 + 2 - (-1) + (-8). ​

Answers

Answer:

0.66071428571429

Step-by-step explanation:

Answer:

the answer should be 1

Step-by-step explanation:

Remove parentheses.

6+2−(−1)−8

Multiply −1 by −1.

6+2+1−8

Add 6 and 2.

8+1−8

Add 8 and 1.

9−8

Subtract 8 from 9.

1

What is the cost of 12.7 gallons of gasoline at $2.15 per gallon?


Please Help I’ll put Brainliest!!!!!!!

Answers

Answer:

$27.31 (rounded to the nearest cent)

Sarah is redecorating her bedroom and wants to pack away some picture frames. She is using a box that has measurements of 7 1/2 inches long, 3 2/3 inches wide, and 4 1/4 inches tall for storing them.

Part A:
What is the volume of Sarah's box?

Part B:
Each picture frame has a volume of 2 1/2in. Using your findings in Part A, how many picture frames can Sarah fit in her box?

Answers

Answer:

A. 71/2 = 35.5 + 32/3= 10.7 + 41/4= 10.3

35.5 + 10.7 + 10.3 = 56.5

B. 21÷2 = 10.5

56.5 ÷ 10.5 = 5.380952381

5 pictures frames

adding and subtracting polynomials

Subtract 2x² + 6x - 5 from 7x² + 3x + 4​

Answers

Answer: 5x^2 - 3x + 9

Step-by-step explanation:

Answer:

5x^2 - 3x + 9

Step-by-step explanation:

7. No Broken Hearts [2.5 Points]Robert has a standard deck of 52 playing cards. Robert shuffles the deck, draws a card, andchecks if the card has a suit of hearts. If the card has a suit of hearts he stops. Otherwise,he replaces the card back into the deck and continues to repeat this process until he drawsa card that has a suit of hearts.a) What is the probability that Robert performs exactly 5 draws

Answers

Answer:

0.079

Step-by-step explanation:

Number of suit of hearts = 13

Total number of cards in deck = 52

P(drawing a suit of heart) = number of suit of heart / total number of cards in deck

P(drawing a suit of heart) = 13 /52 = 1 /4

Hence, Probability of success, p = 1/4

P(not drawing a suit of heart) = 1 - 1/4 = 3/4

Hence, Probability of performing exactly 5 draws :

To perform exactly 5 draws :

1st draw = not a heart suit

2nd draw = not a heart suit

3rd draw = not a heart suit

4th draw = not a heart suit

5 draw = a heart suit

P(performing exactly 5 draws) =

(3/4 * 3/4 * 3/4 * 3/4 * 1/4)

= 0.0791015625

= 0.079

repede,va rog frumos am nevoie de el

Answers

Answer:

nuj coae chineza csf

Step-by-step explanation:

csf

30a + 39b what is the answer

Answers

Answer:

[tex]3(10a + 13b)[/tex]

Step-by-step explanation:

1) Find the Greatest Common Factor (GCF).

GCF = 3

2) Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

[tex]3( \frac{30a}{3} + \frac{39b}{3} )[/tex]

3) Simplify.

[tex]3(10a + 13b)[/tex]

Therefor, the answer is 3 ( 10a + 13b)

Find the area of the circle.

Answers

Answer:

314.00

Step-by-step explanation:

Answer:

15.70

Step-by-step explanation:

A=r^2

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