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The question asked in the survey is, 鈥淲hether the abbreviations like 鈥楲OL鈥� and 鈥楤FF鈥� are annoying?鈥�

Out of 500 smartphone users who were surveyed, the response to a question had exactly two possible outcomes: 鈥測es鈥� or 鈥渙ther.鈥�

The assumptions of the binomial distribution that need to be satisfied are given as follows:

• Fixed number of trials.
• The trials should be independent.
• Each trial should have exactly two plausible outcomes: success and failure.
• The probability of success should be the same for all the trials.

The number of trials is fixed and holds a value equal to 500.

All trials are independent, as 500 different users are asked to record their responses.

It can be seen that the trial involves recording the responses of the users. Moreover, the response to the question is of exactly two kinds: 鈥測es鈥� or 鈥渙ther.鈥�

Since all the 500 users have answered the same question, the probability of success will remain the same for all trials.

Since the procedure follows all the above assumptions,the given situation can be modeled using the binomial distribution.