Using the binomial distribution, it is found that there is a 0.6836 = 68.36% probability that she guesses at least one right.
For each question, there are only two possible outcomes, either she gets it right or she does not get it right. The probability of getting a question right is independent of any other question, hence the <em>binomial distribution</em> is used to solve this question.
<h3>What is the binomial distribution formula?</h3>
The formula is:
The parameters are:
- x is the number of successes.
- n is the number of trials.
- p is the probability of a success on a single trial.
In this problem:
- There are 5 questions, hence n = 5.
- For each question, she guesses one out of 4 options, hence p = 1/4 = 0.25.
The probability that she guesses at least one right is:
In which:
Hence:
0.6836 = 68.36% probability that she guesses at least one right.
You can learn more about the binomial distribution at brainly.com/question/24863377
The variable which is categorical in nature is: the color of the opposing team's jerseys.
<h3>What is a categorical data?</h3>
A categorical data can be defined as a type of statistical data that is used to group information that are having the same attributes or characteristics. Some examples of a categorical data include the following:
- Age
- Gender
- Race
- Religion
- Class
In this context, we can infer and logically deduce that the variable which is categorical in nature is the color of the opposing team's jerseys.
Read more on categorical data here: brainly.com/question/20038845
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Complete Question:
Coach Silva likes statistics. In fact, after each game he examines many variables to prepare for his next opponent. Which one of the following variables is categorical?
the color of the opposing team's jerseys
the number of passing yards for the quarterback
the attendance
the number of plays ran by the offense
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Answer:
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