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
2x + 3y = 5x - y complete the missing value in the solution to the equation
Leto [7]

Answer:

The missing value is(0,0)

Step-by-step explanation:

The complete question is:

2x+3y=5x-y

Complete the missing value in the solution to the equation.

( ,0)

<u>Solution:</u>

We have given:

2x + 3y = 5x - y

Combine the like terms:

2x-5x= -y-3y

-3x = -4y

Both negative signs will be cancelled out by each other.

So we have,

3x = 4y

We have given y = 0

Then

3x = 4*0

3x= 0

Divide both sides by 3

3x/3 = 0/3

x = 0

y=0

Therefore missing value is(0,0)

4 0
4 years ago
Read 2 more answers
Can anyone help me pleaseeee!!!!!!
valentinak56 [21]

Answer:

C and E

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
You and a partner tend 3 machines that run continuously. One prints 200 plastic bottles per hour, one prints 180 plastic bottles
strojnjashka [21]
The first machine does 200 in 1 hour, so in 8.5 hours it will then do 200 * 8.5.

the second machine does 180 in 1 hour, so in 8.5 hours it will then do 180 * 8.5.

the third machine does 150 in 1 hour, so in 8.5 hours it will do then 150 * 8.5.

how many bottles will they all do in total on that time?

(200 * 8.5) + (180 * 8.5) + (150 * 8.5)
6 0
3 years ago
Read 2 more answers
How do you rationalise this surd?
Ksivusya [100]

\frac{1 +  \sqrt{3} }{ \sqrt{2} }   \times  \frac{ \sqrt{2} }{ \sqrt{2} } =  \frac{ \sqrt{2}  +  \sqrt{6}  }{2}
here you go
5 0
3 years ago
Read 2 more answers
3. Complete the proof below.<br><br><br> Help please!!!
baherus [9]

Answer:

The completed proof is presented as follows;

The two column proof is presented as follows;

Statements    {}                                               Reason

1. \overline {HI} ║ \overline {KL}, J is the midpoint of \overline {HL} {}         1. Given

2. ∠IHJ ≅ ∠JLK{}                                            2. Alternate angles are congruent

3. ∠IJH ≅ ∠KJL   {}                                         3. Vertically opposite angles

4.  \overline {HJ} ≅ \overline {JL}   {}                                              4. Definition of midpoint

5. ΔHIJ ≅ ΔLKJ  {}                                         5. By ASA rule of congruency

Step-by-step explanation:

Alternate angles formed by the crossing of the two parallel lines \overline {HI} and \overline {KL}, by the transversal \overline {HL} are equal

Vertically opposite angles formed by the crossing of two straight lines \overline {IK} and \overline {HL} are always equal

A midpoint divides a line into two equal halves

Angle-Side-Angle, ASA rule of congruency states that two triangles ΔHIJ and ΔLKJ, that have two congruent angles, ∠IHJ in ΔHIJ ≅ ∠JLK{} in ΔLKJ and ∠IJH in ΔHIJ ≅ ∠KJL in ΔLKJ, and that the included sides between the two congruent angles is also congruent \overline {HJ} ≅ \overline {JL}, then the two triangles are congruent, ΔHIJ ≅ ΔLKJ.

5 0
3 years ago
Other questions:
  • Is Markiplier the best man?
    7·2 answers
  • Select the coordinates of two points on the line y = -2.
    6·2 answers
  • Round off 55.09 and 38.36 to the nearest tenth then add
    13·1 answer
  • I REALLY NEED HELP PLEASE HELP ME :(
    13·1 answer
  • 45 miles in 40 minutes
    13·1 answer
  • If a movie ticket cost $10 in 2016, what was its price in 1980
    11·1 answer
  • 8.88=-2.22(x-7)<br> what is x
    7·1 answer
  • Given that the quadrilateral shown is a parallelogram. Use the
    13·1 answer
  • F(1) = 6 f(n) = f(n – 1) – 5 for integer values of n &gt; 1
    7·1 answer
  • To help open up a wine bar, Jose borrowed money from a bank. He took out a personal, amortized loan for $49,000, at an interest
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!