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harina [27]
4 years ago
7

Can someone give me the answer for this ​

Mathematics
1 answer:
ella [17]4 years ago
6 0

your answer is areas. area will be scaled by K^2

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during a particular period a university's information technology office received 20 service orders for problems with printers, o
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0.2384 = 23.84% probability that 3 were laser printers.

Step-by-step explanation:

The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

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

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

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

In this question:

20 orders means that N = 8

8 were laser printers, which means that k = 8

Sample of 5 means that n = 5

What is the probability that 3 were laser printers?

This is P(X = 3).

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

P(X = 3) = h(3,20,5,8) = \frac{C_{8,3}*C_{12,2}}{C_{20,5}} = 0.2384

0.2384 = 23.84% probability that 3 were laser printers.

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