Using the conditions for the binomial distribution, it is found that it is a binomial variable, thus, the correct option is:
Yes. All four conditions are met.
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For a variable to be classified as binomial, four conditions have to be met.
- For each trial, there can be only two possible outcomes.
- There is a fixed number of trials.
- Trials are independent.
- In each trial, the probability of a success and a failure has to be the same.
In this problem, the random variable is the number of spelling errors, which is a binomial variable, as:
- There are 250 words, thus the number of trials is fixed.
- For each word, either there is a spelling error or not, thus two possible outcomes.
- The probability of a word being misspelled is independent of any other word, that is, the probability of an spelling error is the same.
Thus, the correct option is:
Yes. All four conditions are met.
A similar problem is given at brainly.com/question/21772486
