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Check Your Understanding Are you more likely to win a random drawing if you crinkle the paper that contains your name before putting it into the drawing box? A curious student conducted a study to investigate. The student took 100 equal sized slips of paper and crinkled 25 of them before putting them all into a box. After mixing well, they asked an uninformed person to select a winner at random. The student noted if the slip was crinkled. The slip was returned to the box, mixed well, and asked another uninformed person to select a winner at random. This process was repeated 10 times. Let Y = the number of times that a crinkled paper was selected.

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Answer: hello your question to the given scenerio is missing below is the missing question

question:  Does this setting represent a Binomial distribution ?

answer : Yes the setting represents a Binomial distribution

Step-by-step explanation:

The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present which are

  • The random variable ( number of times a crinkled paper is picked ) is represented as Y
  • Each sample is drawn independently and with replacement
  • there are only two outcomes ( success or failure )
  • Number of trials is given as  10
  • probability of success = 25 / 100 = 0.25

yes, this setting represent the binomial distribution.

Given that,

The student took 100 equal sized slips of paper and crinkled 25 of them before putting them all into a box.

After mixing well, they asked an uninformed person to select a winner at random.

We have to determine,

Does this setting represent a Binomial distribution.

According to the question,

Let Y = the number of times that a crinkled paper was selected.

The setting represents a Binomial distribution, because the criteria's for a Binomial distribution is all present .

These are the points which represents the given representation is a binomial distribution.

  • The random variable ( number of times a crinkled paper is picked ) is represented as Y.

  • Each sample is drawn independently and with replacement.

  • There are only two outcomes ( success or failure ).

  • Number of trials is given as 10 times repeated.

  • The probability of the success,

        [tex]Probability\ of \ success = \dfrac{25}{100} = 0.25[/tex]

Hence, yes this setting represent the binomial distribution.

To know more about the Binomial distribution click the link given below.

https://brainly.com/question/23413408

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