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
Leni [432]
2 years ago
5

Suppose it is known that 60% of radio listeners at a particular college are smokers. A sample of 500 students from the college i

s selected at random. Approximate the probability that at least 280 of these students are radio listeners.
Mathematics
1 answer:
vladimir1956 [14]2 years ago
8 0

Answer:

The probability that at least 280 of these students are smokers is 0.9664.

Step-by-step explanation:

Let the random variable <em>X</em> be defined as the number of students at a particular college who are smokers

The random variable <em>X</em> follows a Binomial distribution with parameters n = 500 and p = 0.60.

But the sample selected is too large and the probability of success is close to 0.50.

So a Normal approximation to binomial can be applied to approximate the distribution of X if the following conditions are satisfied:

1. np ≥ 10

2. n(1 - p) ≥ 10

Check the conditions as follows:

 np=500\times 0.60=300>10\\n(1-p)=500\times(1-0.60)=200>10

Thus, a Normal approximation to binomial can be applied.

So,  

X\sim N(\mu=600, \sigma=\sqrt{120})

Compute the probability that at least 280 of these students are smokers as follows:

Apply continuity correction:

P (X ≥ 280) = P (X > 280 + 0.50)

                   = P (X > 280.50)

                   =P(\frac{X-\mu}{\sigma}>\frac{280-300}{\sqrt{120}}\\=P(Z>-1.83)\\=P(Z

*Use a <em>z</em>-table for the probability.

Thus, the probability that at least 280 of these students are smokers is 0.9664.

You might be interested in
Please help me !!!!!!!
erastova [34]

Answer:

C. Both (1,11) and (-1,-5)

Step-by-step explanation:

Ok so,

let's try to plug in the first ordered pair into the equation. It should look like this:

11 = 8+3

11=11      CORRECT

now let's try to plug in the second ordered pair. it should look like this:

-5 = -8+3

-5 = -5      CORRECT

hope this helps. have a good day!!

6 0
2 years ago
How do you factor 33x^5y^2+21x^3y+9x^3y^3?
scZoUnD [109]

Answer:

3x³y(11x²y+3y²+7)

Step-by-step explanation:

hope that helps

7 0
3 years ago
The sum of two negatives is greater than -23. One of the numbers is -10. What are the possible values of the other nber
san4es73 [151]

Answer:

any number > than -13 and less than zero

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
-8x+4y=28 solve for y
olga55 [171]
This is how I would do it:
-8x=28-4y divide the entire equation by 4
-2x=7-y Put y back on the left and put x on the right 
y=7-2x.
8 0
3 years ago
Read 2 more answers
A local reader’s club has a set of 12 hardback books, a set of 18 paperbacks, and a set of 36 magazines. Each set can be divided
densk [106]
The answer is 6 members
4 0
3 years ago
Other questions:
  • 30 points if you answer this question and please show work !
    8·1 answer
  • WHAT IS 7.5% OF 80? ROUND TO THE NEAREST HUNDRETH
    14·2 answers
  • (x - 5) + (x - 1)<br> Simplify
    14·2 answers
  • What is the solution to this inequality?
    6·1 answer
  • I need to to how to do this
    6·1 answer
  • Which is greater 10,000 or 337,676
    10·2 answers
  • F(x)=6x-4 what is f(x)whence=8
    15·1 answer
  • A+B=8<br> C+D=6<br> A+C=13<br> B+D=8<br> Please answer it?
    6·1 answer
  • Plzzzzzzzzzzzzzz help.
    14·2 answers
  • February has 28 days. It rained on <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D" id="TexFormula1" title="\frac{3}{4}"
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!