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
marusya05 [52]
3 years ago
11

In a recent survey of 25 voters, 17 favor a new city regulation and 8 oppose it. What is the probability that in a random sample

of 6 respondents from this survey, exactly 2 favor the proposed regulation and 4 oppose it?
Mathematics
1 answer:
Rasek [7]3 years ago
6 0

Answer:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

Step-by-step explanation:

1) Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

2) Solution to the problem

The probability in favor of the regulation based on the recent survey is:

p = \frac{17}{25}=0.68

Let X the random variable of interest "Number of favor respondents about the regulation", on this case we now that:

X \sim Binom(n=6, p=0.68)

The probability mass function for the Binomial distribution is given as:

P(X)=(nCx)(p)^x (1-p)^{n-x}

Where (nCx) means combinatory and it's given by this formula:

nCx=\frac{n!}{(n-x)! x!}

And we want to find this probability:

P(X=2)=(6C2)(0.68)^2 (1-0.68)^{6-2}=0.0727

If we use X= "Number of respondednts opposed to the regulation we got the same answer", but on this case p = 1-0.68=0.32, and we want this probability:

P(X=4)=(6C4)(0.32)^4 (1-0.32)^{6-4}=0.0727

You might be interested in
The vertex if the parabola below is at the point (2,4) and the point (3,6) is on the parabola. What is the equations the parabol
Sloan [31]
I think the equation is 2(x-2)^2+4
4 0
3 years ago
Read 2 more answers
Solve for x and then find the measure of
masha68 [24]
Answer:
Of angle B...
5 0
3 years ago
In square ABCD, m∠AED=(7x−8)°. What is the value of x?
kirill115 [55]

Answer:

12

Step-by-step explanation:

The angle equals 90 degrees so (8*12-6) would equal 90

hopefully i helped

4 0
3 years ago
If the area of AABC is D, give the expressions that complete the equation for the measure of ZB?
Ira Lisetskai [31]

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

m\angle B=\sin ^{-1}(\dfrac{m}{n})

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

Area=\dfrac{1}{2}\times base\times h

Where, b is the base and h is the height of the triangle.

Area=\dfrac{1}{2}\times a\times h

The area of the triangle ABC is D.

D=\dfrac{1}{2}\times a\times h

2D=ah

\dfrac{2D}{a}=h                  ...(i)

In a right angle triangle,

\sin \theta =\dfrac{Perpendicular}{Hypotenuse}

\sin B =\dfrac{h}{c}

\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}              [Using (i)]

\sin B =\dfrac{2D}{ac}

m\angle B =\sin ^{-1}\dfrac{2D}{ac}            ...(ii)

We have,

m\angle B=\sin ^{-1}(\dfrac{m}{n})          ...(iii)

On comparing (ii) and (iii), we get

m=2D

n=ac

Therefore, the required values are m=2D, n=ac.

6 0
3 years ago
What is 1/4 of £42<br><br> and what is 2/5 of £13.50
xxTIMURxx [149]
Divide 42 by 4 for one fourth. Divide 13.5 by 5 and multiply that by 2.
5 0
3 years ago
Read 2 more answers
Other questions:
  • John has $6.10 in quarters and nickels in his pocket. If John has 34 coins in his pocket, how many of the coins are quarters?
    15·1 answer
  • Mike bought 7 new baseball trading cards to add to his collection. His dog ate half of his collection. There are now only 25 car
    7·1 answer
  • Is how many student passed the math test a statistical question
    14·1 answer
  • GEOMETRY QUESTION: PLEASE ANSWER FAST!
    10·1 answer
  • Find the measures of all angles in a triangle ABC
    6·1 answer
  • Can somebody help me with this. Will Mark brainliest.
    7·1 answer
  • Please HELP PLEASE PLEASE
    9·1 answer
  • Could ya’ll play my game? Only two people are playing, and it’s a roleplay game, which is pretty bad lol. https://scratch.mit.ed
    5·2 answers
  • Whats 7 divided by 6??
    11·1 answer
  • Mr. Gray’s quiz was normally distributed with a mean of 25 and a standard deviation of 10 find z- scores for each of the followi
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!