The cumulative distribution function (CDF), F(x), for a discrete uniform distribution has the following properties:

1. Sums to 1: This is a fundamental property of all probability distributions, not just the discrete uniform distribution. The sum of the probabilities of all possible outcomes must equal 1.

2. Lies between 0 and 1: The CDF, F(x), gives the probability that a random variable X will take a value less than or equal to x. Since probabilities cannot be less than 0 or greater than 1, the value of F(x) must lie between 0 and 1.

3. Increases as x increases: The CDF is a non-decreasing function. This means that as x increases, the value of F(x) either increases or stays the same. For a discrete uniform distribution, the probability of each outcome is the same, so the CDF increases by the same amount for each increase in x.

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The cumulative distribution function (CDF), F(x), for a discrete uniform distribution has the following properties:

1. Sums to 1: This is a fundamental property of all probability distributions, not just the discrete uniform distribution. The sum of the probabilities of all possible outcomes must equal 1.

2. Lies between 0 and 1: The CDF, F(x), gives the probability that a random variable X will take a value less than or equal to x. Since probabilities cannot be less than 0 or greater than 1, the value of F(x) must lie between 0 and 1.

3. Increases as x increases: The CDF is a non-decreasing function. This means that as x increases, the value of F(x) either increases or stays the same. For a discrete uniform distribution, the probability of each outcome is the same, so the CDF increases by the same amount for each increase in x.

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The cumulative distribution function (CDF), F(x), for a discrete uniform distribution has the following properties:

1. Sums to 1: This is a fundamental property of all probability distributions, not just the discrete uniform distribution. The sum of the probabilities of all possible outcomes must equal 1.

2. Lies between 0 and 1: The CDF, F(x), gives the probability that a random variable X will take a value less than or equal to x. Since probabilities cannot be less than 0 or greater than 1, the value of F(x) must lie between 0 and 1.

3. Increases as x increases: The CDF is a non-decreasing function. This means that as x increases, the value of F(x) either increases or stays the same. For a discrete uniform distribution, the probability of each outcome is the same, so the CDF increases by the same amount for each increase in x.

The value of the cumulative distribution function F(x), where x is a particular outcome, for a discrete uniform distribution:sums to 1.lies between 0 and 1.decreases as x increases

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