Determine whether the random variable X has a binomial distribution. If it does,

Question

Determine whether the random variable X has a binomial distribution. If it does, state the number of trials n. If it does not, explain why not. Twenty students are randomly chosen from a math class of 70 students. Let X be the total number of student absences. The random variable X does not have a binomial distribution. Which of the following conditions for the binomial distribution does not hold? (If there is more than one, select only one.) 1. A fixed number of trials are conducted. 2. There are two possible outcomes for each trial. 3. The probability of success is the same on each trial. 4. The trials are independent. 5. The random variable X represents the number of successes that occur. The random variable is not binomial because does not hold.

Explanation / Answer

We know that it is not a binomial distribution . The reason is that we do not the probability of success in each trial and we therefore dont know if it is same or not. So correct answer is 3

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