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Marrrta [24]
3 years ago
10

The table below shows the results of a survey of 1000 American college students and their age breakdown. Use the table to answer

questions

Mathematics
2 answers:
Yakvenalex [24]3 years ago
7 0
The answer for this is c
mel-nik [20]3 years ago
3 0

Answer:

c

Step-by-step explanation:

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There is a bag filled with 3 blue and 4 red marbles.
tresset_1 [31]

Using the hypergeometric distribution, it is found that there is a 0.4286 = 42.86% probability of getting 2 of the same colour.

The marbles are chosen without replacement, hence the <em>hypergeometric </em>distribution is used to solve this question.

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

The formula is:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

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

The parameters are:

  • x is the number of successes.
  • N is the size of the population.
  • n is the size of the sample.
  • k is the total number of desired outcomes.

In this problem:

  • There is a total of 3 + 4 = 7 marbles, hence N = 7.
  • Of those, 3 are blue, hence k = 3.
  • 2 marbles will be taken, hence n = 2.

The probability of getting 2 of the same colour is the sum of P(X = 0), which is both red, with P(X = 2), which is both blue, then:

P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}

P(X = 0) = h(0,7,2,3) = \frac{C_{3,0}C_{4,2}}{C_{7,2}} = 0.2857

P(X = 2) = h(2,7,2,3) = \frac{C_{3,2}C_{4,0}}{C_{7,2}} = 0.1429

Hence:

p = P(X = 0) + P(X = 2) = 0.2857 + 0.1429 = 0.4286

0.4286 = 42.86% probability of getting 2 of the same colour.

You can learn more about the hypergeometric distribution at brainly.com/question/4818951

3 0
2 years ago
PLEASE HELP timed exam pls
3241004551 [841]

Answer:

helping hand help to write good

5 0
3 years ago
What is the lest comen demomator of 1/8 1/12 and 7/18
Bond [772]

Answer:

72

Step-by-step explanation:

18*4

12*6

8*9

5 0
3 years ago
Read 2 more answers
What is the value of x?<br><br> Please help! Thanks!
leonid [27]

Answer:

x=75

Step-by-step explanation:

We can use proportions to solve this problem.  Put the side of the small triangle over the side of the large triangle.

42           50

------ = ----------

42+63        50+x

42           50

------ = ----------

105          50+x

Using cross products

42(50+x) = 50*(105)

2100+42x = 5250

Subtract 2100 from each side

2100-2100+42x = 5250-2100

42x =3150

Divide by 42

42x/42 = 3150/42

x = 75


8 0
4 years ago
Which of the following are invloved in graphs or linear functions?
olga_2 [115]

Answer:

I dont know you never explain properly

Step-by-step explanation:

8 0
3 years ago
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