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
Anestetic [448]
2 years ago
11

6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the

same quote
Mathematics
1 answer:
shusha [124]2 years ago
6 0

Using the binomial distribution, it is found that there is a 0.0328 = 3.28% probability that at least 2 of them choose the same quote.

<h3>What is the binomial distribution formula?</h3>

The formula is:

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

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

The parameters are:

  • x is the number of successes.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

In this problem, we have that:

  • There are 6 students, hence n = 6.
  • There are 20 quotes, hence the probability of each being chosen is p = 1/20 = 0.05.

The probability of one quote being chosen at least two times is given by:

P(X \geq 2) = 1 - P(X < 2)

In which:

P(X < 2) = P(X = 0) + P(X = 1).

Then:

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

P(X = 0) = C_{6,0}.(0.05)^{0}.(0.95)^{6} = 0.7351

P(X = 1) = C_{6,1}.(0.05)^{1}.(0.95)^{5} = 0.2321

Then:

P(X < 2) = P(X = 0) + P(X = 1) = 0.7351 + 0.2321 = 0.9672.

P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9672 = 0.0328

0.0328 = 3.28% probability that at least 2 of them choose the same quote.

More can be learned about the binomial distribution at brainly.com/question/24863377

You might be interested in
I'm confused on #21. It's very hard. I tried starting it but I gave up.
UkoKoshka [18]
Can't read the full question
7 0
3 years ago
Read 2 more answers
By rounding to 1 significant figure, estimate the answers to these questions:<br><br> 346 x 904
nikdorinn [45]

Answer:

    312 784

Step-by-step explanation:

   if u need this answer, take

8 0
3 years ago
Read 2 more answers
I need help for Part A and B
Tamiku [17]

Step-by-step explanation:

A

The probability of wining is 1/4 so it's 25%. so if you win you either win one of 2 object, so we have to divide the chance of wining by the number of object, so (25%)/2

A it's ,12.5% chance of wining the mug

B yes, it will change if she pics the mug first, it will be 25% because it's guaranteed that she will get the mug if she wins

8 0
3 years ago
Jason and Yolanda both drew a simple random sample from a non-normally distributed population of 25,000. Jason’s sample consiste
UkoKoshka [18]

Answer:  Last Option is correct.

Step-by-step explanation:

Since we have given that

Total number of population = 25000

Percent of sample of Jason = 0.24%

Percent of sample of Yolanda's = 0.32%

So, Number of population according to Jason's sample is given by

\frac{0.24}{100}\times 25000\\\\=0.0024\times 25000\\\\=60

Number of population according to Yolanda's sample is given by

\frac{0.32}{100}\times 25000\\\\=0.0032\times 25000\\\\=80

Both the sample can be used to make inferences about the population

Hence, Last Option is correct.

3 0
3 years ago
Read 2 more answers
Please answer this below Question # 15
LiRa [457]

Answer:

c. \: 5x - 2y = 10 \\ \:  \:  \:  \:  \:  10x - 4y = 20 \\

7 0
3 years ago
Other questions:
  • you get 90 pills from the pharmacy every 28 days . you take 3 per day., but you lost 8 pills. how many pills per day are you lef
    12·1 answer
  • Victor Malaba has a net income of $1.240 per month if he spends $150 on food . $244 on a car payment $300 on rent and $50 on sav
    14·1 answer
  • What conic section degenerates into a line?
    7·1 answer
  • Dragonfly speed is 6.974
    13·1 answer
  • 1. which graph shows a proportional linear relationship between X and Y, explain.
    14·1 answer
  • Convert the following angle from degrees to radians. Express your answer in simplest form.
    6·1 answer
  • MARIA IS GOING FOR A RUN. AFTER 20 MINUTES, SHE HAS
    7·1 answer
  • At a water park 893 out of 940 ticket sold were child ticket, what percentage of the ticket were child ticket?
    10·2 answers
  • Two types of tickets were sold for an upcoming concert: adult tickets and child tickets. In total, there
    5·1 answer
  • 8(x-5)(x-2)(x-8^2)(x-9)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!