1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Harrizon [31]
3 years ago
12

Consider the experiment of tossing a fair coin three times and observing the number of heads that result (X = number of heads).

What is the standard deviation for this distribution?
Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

The standard deviation for this distribution is 0.8660.

Step-by-step explanation:

For each coin toss, there are only two possible outcomes. Either it is heads, or it is tails. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

\sqrt{V(X)} = \sqrt{np(1-p)}

In this problem, we have that:

In each toss, heads or tails are equally as likely, since the coin is fair. So p = \frac{1}{2} = 0.5

Three throws, so n = 3

What is the standard deviation for this distribution?

\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{3*0.5*0.5} = 0.8660

The standard deviation for this distribution is 0.8660.

You might be interested in
Help me please translations hw
RUDIKE [14]

The locations of the vertices are shown below:

  1. (- 5, 4), (- 4, 4), (- 5, 2)
  2. (- 4, 1), (- 1, 2), (0, - 1), (- 2, - 5)
  3. (2, 5), (3, 4), (1, 2)
  4. (3, - 5), (- 2, - 3), (0, - 1)
<h3>What are the coordinates of the images resulting from a translation?</h3>

Herein we find four representations of polygons on Cartesian plane and we must determine the coordinates of the images generated by translation, a kind of rigid transformations. Translation is described by the following operation:

P'(x, y) = P(x, y) + T(x, y)

Where:

  • P(x, y) - Original point
  • P'(x, y) - Resulting point
  • T(x, y) - Translation vector

Case 1 (K(x, y) = (3, - 3), X(x, y) = (4, - 3), R(x, y) = (3, - 5), T(x, y) = (- 8, 7))

K'(x, y) = (3, - 3) + (- 8, 7) = (- 5, 4)

X'(x, y) = (4, - 3) + (- 8, 7) = (- 4, 4)

R'(x, y) = (3, - 5) + (- 8, 7) = (- 5, 2)

Case 2 (E(x, y) = (0, 2), X(x, y) = (3, 3), V(x, y) = (4, 0), Z(x, y) = (2, - 4), T(x, y) = (- 4, - 1))

E'(x, y) = (0, 2) + (- 4, - 1) = (- 4, 1)

X'(x, y) = (3, 3) + (- 4, - 1) = (- 1, 2)

V'(x, y) = (4, 0) + (- 4, - 1) = (0, - 1)

Z'(x, y) = (2, - 4) + (- 4, - 1) = (- 2, - 5)

Case 3 (G(x, y) = (- 4, 5), J(x, y) = (- 3, 4), U(x, y) = (- 5, 2), T(x, y) = (6, 0))

G'(x, y) = (- 4, 5) + (6, 0) = (2, 5)

J'(x, y) = (- 3, 4) + (6, 0) = (3, 4)

U'(x, y) = (- 5, 2) + (6, 0) = (1, 2)

Case 4 (V(x, y) = (0, 0), Y(x, y) = (- 5, 2), F(x, y) = (- 3, 4), T(x, y) = (3, - 5))

V'(x, y) = (0, 0) + (3, - 5) = (3, - 5)

Y'(x, y) = (- 5, 2) + (3, - 5) = (- 2, - 3)

F'(x, y) = (- 3, 4) + (3, - 5) = (0, - 1)

To learn more on rigid transformations: brainly.com/question/28004150

#SPJ1

6 0
1 year ago
Read 2 more answers
A cookie recipe calls for 2 tablespoons of sugar and 6 tablespoons of flour.If mom puts 5 tablespoons of sugar,how many tablespo
stiks02 [169]

Answer:

15

Step-by-step explanation: 5/2= 2.5

6·2.5= 15

i hope this helps lol

 

3 0
3 years ago
URGENT PLEASE ANSWER (NTH TERM), 15 POINTS + BRAINLIEST !! (fibonacci sequence , algebra, simple) *show working out please*
Gre4nikov [31]

a) 1 1 2 3 5 8 13 21 34

So, nineth term is 34

b) a+2b+2a+3b=3a+5b

c) a= 3 b= 4

Work is on attachment.

Hope this helped!

8 0
3 years ago
Is the fraction 1/3 equivalent to a terminating decimal or a decimal that does not terminate?
bezimeni [28]
It is a decimal that does not terminate. 1/3 is equivalent to .3333333333 and so on. it never ends
4 0
3 years ago
Arnie decides to make 3 cups of dark orange paint and 3 cups of light orange paint.
dimulka [17.4K]

The question is an illustration of equivalent ratios.

  • 3 cups of dark orange require 3 ounces of yellow  paint
  • 3 cups of light orange require 19.5 ounces of yellow paint

1 cup of dark orange requires

Red = 7oz

Yellow =1oz

To make 3 cups, we simply multiply by 3, because 3 \times 1 = 3

So, we have:

Red = 7oz \times 3 = 21oz

Yellow =1oz \times 3 = 3oz

2 cups of light orange require

Red =3oz

Yellow =13

To make 3 cups, we simply multiply by 1.5, because 2 \times 1.5 = 3

So, we have:

Red = 3oz \times 1.5 = 4.5oz

Yellow = 13oz \times 1.5 = 19.5oz

Hence:

  • 3 cups of dark orange require 3 ounces of yellow  paint
  • 3 cups of light orange require 19.5 ounces of yellow paint

Read more about equivalent ratios at:

brainly.com/question/18441891

5 0
2 years ago
Other questions:
  • Part A: Solve –vp + 40 &lt; 95 for v. Show your work. (4 points) Part B: Solve 8w – 3r = 45 for r. Show your work. (6 points)
    14·2 answers
  • myra swims 3/5 of a mile farther than luke.if luke swims 2 and 4/10 miles, how many milrs does myra swim?
    11·1 answer
  • clayton open a savings account 4 years ago. the account earns 8% interest, compounded monthly. if the current balance is $200.00
    9·1 answer
  • A rectangular park is 400 m long and 200 m wide. If you walked around the park twice, how far would you walk? Awnser : 160,000 -
    12·2 answers
  • Question 3 Multiple Choice Worth 4 points) Simplify 11 ^ -4/ 11 ^ 8 <br><br> HELP PLEASE
    8·2 answers
  • Will give brainliest!!!
    7·2 answers
  • 20 point help.brainliest will be mark
    11·2 answers
  • A landlord owns 3 condominiums, a l-bedroom condo, a 2-bedroom condo, and a 3-
    6·1 answer
  • Help whats the volume of this
    10·1 answer
  • Please help meeeee!!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!