Which of the following represents a difference between continuous and discrete r
ID: 3259540 • Letter: W
Question
Which of the following represents a difference between continuous and discrete random variables? A. Continuous random variables assume an uncountable number of values, and discrete random variables do not. B. The probability for any individual value of a continuous random variable is zero, but for discrete random variables it is not. C. Probability for continuous random variables means finding the area under a curve, while for discrete random variables it means summing individual probabilities. D. All of these choices are true. Which of the following is NOT a characteristic for a normal distribution? A. It is symmetrical B. The mean is always zero C. The mean, median, and mode are all equal. D. It is bell-shaped distribution. The Central Limit Theorem states that, if a random sample of size n is drawn from a population, then the sampling distribution of the sample mean X: A. is approximately normal if n > = 30. B. is approximately normal if nExplanation / Answer
Dear student,
According to Chegg guidelines, only the first question is answered.
A continuous random variable is represented in interval form so it takes up uncountable values in that interval,whereas a discrete random variable takes up one specific value.
Since,continuous random variable is represented in interval so the probability at a given instance is zero whereas for a discrete random variable we have a concrete probability for a given point.
Also, the probability is calculated for a continuous random probability by integrating the area under curve whereas for discrete random variable,it is calculated by adding the individual probabilities for different values of the variables.
Thus the correct answer is option D, that is all the statements given are true.
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