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
ddd [48]
3 years ago
12

Binomial Probability

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0

Answer:

4.39% theoretical probability of this happening

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it lands on heads, or it lands on tails. The probability of a coin landing on heads is independent of other coins. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Theoretically, a fair coin

Equally as likely to land on heads or tails, so p = \frac{1}{2} = 0.5

10 coins:

This means that n = 10

What is the theoretical probability of this happening?

This is P(X = 2).

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 2) = C_{10,2}.(0.5)^{2}.(0.5)^{8} = 0.0439

4.39% theoretical probability of this happening

You might be interested in
A line plot with the lengths of meteors is shown. Two more identical meteor measurements were added so that the total length of
Lady_Fox [76]

Answer:

never mind i was wrong

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write the quadratic equation whose roots are 2 and -4 and whose leading coefficient is 2
Goryan [66]

Answer:

2x^2+4x-16

Step-by-step explanation:

The quadratic can be written as

f(x) = a(x-z1)(x-z2) where z1 and z2 are the roots

f(x) = a (x-2)(x- -4)

a is the leading coefficient

f(x) = 2(x-2)(x+4)

     = 2(x^2 -2x+4x-8)

     = 2(x^2 +2x-8)

     = 2x^2 +4x-16

5 0
3 years ago
What is the sum of twenty and thirty
bonufazy [111]
Fifty , 50 20+30=50, not sure if its asking much else

8 0
3 years ago
Read 2 more answers
Which of these story problem describes the sum 19 + (-12)? Check all that apply. Show your work to justify your answer.
MatroZZZ [7]
-19 + (-12) = 7

Remove Parentheses  
( -a ) = -a 

= 19 - 12
Subtract The Numbers 
19-12 = 7
8 0
3 years ago
Which is the approximate measure of this angle A. 30 b. 90 c 120 d 180
statuscvo [17]

Answer:

Answer is A. 30 degree

as we know that two prependicular lines have 90 degree angle between them

and similarly a horizontal line has angle zero degree.

the angle of pic shown is approximately 30 degree as it lies between prependicular and horizontal nature of lines

but as we can see that it is close to horizontal nature of the line that's why its approximate angle is 30 degree.

4 0
3 years ago
Other questions:
  • which of the following functions corresponds to the domain -2 a.) f(x)=x-2<br> b.) f(x)=x-3<br> c.) f(x)=2x-3
    11·1 answer
  • Find the center, vertices, and foci of the ellipse with equation 2x2 + 8y2 = 16.
    9·1 answer
  • HELP FOR BRAINLIEST<br> 55 POINTS !!!
    14·2 answers
  • Help me? Product of a sum and a difference
    13·1 answer
  • To complete one orbit around the sun, the planet Venus travels approximately
    9·1 answer
  • Solve for u.
    12·2 answers
  • HELP ME AGAIN PLSSSSS
    13·2 answers
  • The total number of branches in a tree diagram will be which of the following values?
    14·1 answer
  • The ratio of the side length of a square to the square's perimeter is always 1 to 4.
    15·1 answer
  • What does this equal<br> -5/6+(-5/6)=
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!