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
Tom [10]
2 years ago
5

A survey is being conducted in a county where 62% of the voters are Democrats and 38% are Republican. (a) What is the probabilit

y that two independently surveyed voters would both be Democrats?
Mathematics
1 answer:
Inessa05 [86]2 years ago
3 0

Answer:

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

Step-by-step explanation:

For each voter, there are only two possible outcomes. Either the voter is a Democrat, or he is not. The probability of the voter being a Democrat is independent of other voters. 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.

62% of the voters are Democrats

This means that p = 0.62

(a) What is the probability that two independently surveyed voters would both be Democrats?

This is P(X = 2) when n = 2. So

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

P(X = 2) = C_{2,2}.(0.62)^{2}.(0.38)^{0} = 0.3844

0.3844 = 38.44% probability that two independently surveyed voters would both be Democrats

You might be interested in
HELP ME FIND THE Y AND X INTERCEPT PLEASEE!!!!
kumpel [21]

Answer:

x . 0.3

y . 0.4

Step-by-step explanation:

please mark me brainliest please

3 0
3 years ago
Read 2 more answers
Evaluate - 4/8 ./. 8 2/3
LenaWriter [7]

Answer:

The answer is 13/3.

Step-by-step explanation:

8 2/3 is an improper fraction and is expressed as 26/3. CCF (copy, change, flip) is then applied to the division statement and 26/3 to becomes 4/8*26/3. The final answer is 104/24 which simples to 13/3.

3 0
2 years ago
Kyle divided two numbers in scientific notation using the interactive calculator and found a solution of 3.5E4. If the numerator
Maru [420]

Answer:

a=2, b=5

Step-by-step explanation:

Let

n -----> the denominator

we have

3.5*10^4=\frac{7*10^9}{n}

Solve for n

That means -----> isolate the variable n

Multiply by n both sides

3.5*10^4(n)=7*10^9

Divide by 3.5*10^4 both sides

n=\frac{7*10^9}{3.5*10^4}=(\frac{7}{3.5})(\frac{10^9}{10^4})=2*10^5

therefore

a=2, b=5

5 0
3 years ago
Read 2 more answers
Please solve this question in mathematics <br> 75*75+4543-8745/3.5
Harman [31]

Answer:

7669.42857

Step-by-step explanation:

3 0
2 years ago
Helpp!!! This is due Sunday. I don’t understand!
Darya [45]

Answer:

11, 15, 26, 41, could be an answer


6 0
3 years ago
Other questions:
  • This is a math problem, how do I round 0.975 to the nearest tenth
    12·2 answers
  • Simplify (-5) + (-2) - (-7) - (+9)
    5·1 answer
  • Can anyone explain how to factor quadratics? i have a whole page of stuff like the picture.
    13·1 answer
  • Which graph is the solution of the following system?
    5·1 answer
  • Listed below are prices in dollars for one night at different hotels in a certain region. Find the​ range, variance, and standar
    15·1 answer
  • Which table represents a linear function? Y X y 7 1 XEM 1 N N 9 13 21 Ž 3 -- 4 2 4 O 6 16 30. witch table is a liner function.​
    9·1 answer
  • I will give you branley for this if you get it correct: A hot chocolate recipe calls for three teaspoons of cocoa for every cup
    6·2 answers
  • (Will give Brainliest) These are composite figures. find the area of the figure and round your answer to one decimal place if ne
    8·1 answer
  • PLEASE HELP ASAP ILL GIVE 100 POINTS TO ANYONE THAT ANSWERS CORRECTLY
    10·1 answer
  • Which function has exactly one zero?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!