Respuesta :
Answer:
d. The random variable of interest is continuous.
Step-by-step explanation:
Binomial distribution:
a. Each trial results in a success or failure.
The given statement is true regarding binomial distribution. There only two possible outcome for a trial in a binomial distribution, success or failure.
b. Trials are independent of each other.
The given statement is true regarding binomial distribution.
c. The probability of success remains constant from trial to trial.
The given statement is true regarding binomial distribution.
d. The random variable of interest is continuous.
The given statement is not correct as binomial distribution is a discrete distribution. The random variable of interest is discrete and cannot take any value within an interval.
Using concepts of the binomial distribution, it is found that the following statement is not correct:
d. The random variable of interest is continuous.
The binomial distribution is used when:
- For each trial, there are two possible outcomes, either a success or a failure.
- There is a fixed number of trials.
- For each trial, the probability of a success is the same, that is, the trials are independent.
- The variable of interest is the number of successes, which assumes whole numbers, thus it is discrete.
This means that statement d is false.
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