What is the difference between the probability distribution of a discrete random

Question

What is the difference between the probability distribution of a discrete random variable and that of a continuous random variable? Select each correct answer below.

1) The probability distribution of a discrete random variable assigns probabilities to points while that of a continuous random variable assigns probabilities to intervals.

2) The probability that a continuous random variable x assumes a value within a certain interval is given by the area under the curve between the two limits of the interval. For a discrete random variable the value is given by the summation of values between those two points.

3) A discrete random variable has countable values, a continuous random variable has values that are not countable.

4) The probability distribution of a continuous random variable assigns probabilities to points while that of a discrete random variable assigns probabilities to intervals.

5) A continuous random variable has countable values, a discrete random variable has values that are not countable.

Explanation / Answer

Option-1, Option-2, Option-3

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