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
La casa de prestamos la mejor cobra el 7% de interes mensual.Es decir por cda 100 paga solo 7 pesos
Marizza181 [45]

Responder:

Por favor, consulte la explicación.

Explicación paso a paso:

Dado que :

Los mejores cargos por préstamos hipotecarios:

Interés mensual = 7%

Intereses pagados sobre capital de 100 pesos

Intereses pagados = principal * tasa de interés

Intereses pagados = 100 * 7%

Intereses pagados = 100 * 0.07

Intereses pagados = 7 pesos

De ahí que los intereses pagados por un préstamo de 100 pesos sean 7 pesos

3 0
2 years ago
Which of the four representations are incorrect?
Ulleksa [173]

Answer:

second one

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Carmen lives in Maine and pays 5% in sales tax. She just bought $70 in
galina1969 [7]

Answer:

The correct answer is option A.

Step-by-step explanation:

Let's start by analyzing the information we have.

We know that Carmen pays 5% tax on everything she buys, and has made a purchase of $ 70.

But they also tell us that there is $ 25 of that purchase that will not be charged with taxes.

Therefore, what will be charged with taxes will be:

70-25 = 45

Now we must know how much is 5% of 45 and that we can find out by multiplying 45 by 0,05:

45.0,05 = 2,25

Now that we know that the tax was 2.25, we just have to add it to the total purchase to find out how much Carmen paid:

2.25 + 70 = 72.25

Therefore, the total value of the purchase is 72.25.

8 0
3 years ago
Read 2 more answers
Simplify: 20 - 4+2+3*<br><br> 0<br> 15<br> 35<br> 80<br> 8
LUCKY_DIMON [66]
The answer would be 21... did you type something in the wrong order, or is there suppose to be an exponent? What’s the * for
6 0
3 years ago
how to is the tree that cast a shadow of 320 centimeter long and john who is majoring the tree is 180 centimeter tall and cast a
Nikolay [14]
Ok so ratios
john casts a shadow of 180 when he is 180
therefor shadowheight=realheight
320shadowheight=realheight


realheight=320centimeters
7 0
3 years ago
Other questions:
  • What is the value of 1/2 x3 + 3.4y when x = 2 and y = 5<br> The X3 The 3 in that is Over X
    6·1 answer
  • Solve 5 - 2x &lt; 7.<br> A) x &lt; -1 <br> B) x &gt; -1 <br> C) x &lt; -12 <br> D) x &gt; -12
    15·1 answer
  • This is the straight path connecting two points and extending infinitely in both directions
    13·1 answer
  • Gethen drinks 48 fluid ounces of water in 1 day.He needs to drink 8 cups in total.How many more cups does he need to drink?
    7·1 answer
  • Solve the inequality for x.<br> 4x – 8 &gt; 40
    5·2 answers
  • What part of 29 is 36?
    8·1 answer
  • Which of these polygons do not belong a square a triangle a hexagon or a rectangle
    14·1 answer
  • 44.22 divided by (-6.7)​
    10·2 answers
  • if you have one and a half loaf of bread and you have twelve people. which size of bread will each get​
    9·1 answer
  • Find the degree of 3x<br><img src="https://tex.z-dn.net/?f=3%20%7Bx%7D%5E%7B3%7D%20y%5E%7B2%7D%20" id="TexFormula1" title="3 {x}
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!