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As part of a statistics project, a teacher brings a bag of marbles containing 700 white marbles and 200 red marbles. She tells the students the bag contains 900 total marbles, and asks her students to determine how many red marbles are in the bag without counting them.A student randomly draws 200 marbles from the bag. Of the 200 marbles, 41 are red.

As part of a statistics project a teacher brings a bag of marbles containing 700 white marbles and 200 red marbles She tells the students the bag contains 900 t class=

Respuesta :

In the given question, we have the following parameters.

[tex]\begin{gathered} \text{Total number of balls =900} \\ \end{gathered}[/tex]

We are then told that the student randomly drew 200 marbles and out of the selected marbles, 41 were red. We can find the estimation of red balls in the bag below.

Explanation

The probability of selecting a red ball out of the random sample of 200 balls is given as

[tex]Pr(red)=\frac{41}{200}[/tex]

Therefore we can use the probability to estimate the proportion of red balls in the bad. This can be seen as;

[tex]\frac{41}{200}\times900=184.5[/tex]

Answer: 184.5

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