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Len [333]
3 years ago
12

( 2 + 3 ) ^-1 x ( 2 ^-1 + 2^-1 )

Mathematics
2 answers:
Romashka [77]3 years ago
8 0

Answer:

Step-by-step explanation:

\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\displaystyle\ \Large \boxed{ \boxed{\boldsymbol{Rule :  a^{-1}=\frac{1}{a}  }}} \\\\\\\\ (2+3)^{-1} \times (2^{-1}+2^{-1}) = \\\\1)\ (2+3)^{-1}=5^{-1}=\frac{1}{5}  \\\\2)\ 2^{-1}+2^{-1}=\frac{1}{2} +\frac{1}{2} } =1 \\\\3)\  \frac{1}{5} \cdot 1=\boxed{\frac{1}{5} }

marusya05 [52]3 years ago
5 0

Answer:

\left(2+3\right)^{-1}\left\times(2^{-1}+2^{-1}\right)

=\frac{1}{\left(2+3\right)}\left(2^{-1}+2^{-1}\right)

Add 2+3=5

=\frac{1}{5}\left(2^{-1}+2^{-1}\right)

2^-1+2^-1=2^0

=2^0\cdot \frac{1}{5}

=1\cdot \frac{1}{5}

=\frac{1}{5}

<u>OAmalOHopeO</u>

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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:

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  • N is the size of the population.
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In this problem:

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  • 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

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