Is the sum of two dice discrete or continuous?

It is discrete; the results can only be some specific whole numbers (2,3…

Is dice rolling discrete or continuous?

Rolling two dice: A discrete probability distribution

In the probability distribution above, just like on the fretted bass, only certain values are possible. For example, when you roll two dice, you can roll a 4, or you can roll a 5, but you cannot roll a 4.5.

Is dice a continuous variable?

Continuous random variables

Recall that a discrete random variable is one that can only take on one of a number of discrete values, and nothing in between. For example, a die (singular of “dice”) can come up 1, 2, 3, 4, 5 or 6, but not 1.5 or 2.3. … That’s a discrete random variable.

How do you know if its discrete or continuous?

Discrete data is a numerical type of data that includes whole, concrete numbers with specific and fixed data values determined by counting. Continuous data includes complex numbers and varying data values that are measured over a specific time interval.

Is total cost discrete or continuous?

A continuous random variable can take all values in an interval, while discrete variable can only take countable values. The variable “cost” is always rounded to 2 decimal places, and that’s why it cannot take all possible values in an interval, so this technically should be discrete.

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What is the probability of sum of two dice?

If the two dice are fair and independent , each possibility (a,b) is equally likely. Because there are 36 possibilities in all, and the sum of their probabilities must equal 1, each singleton event {(a,b)} is assigned probability equal to 1/36.

What is the expected value of the sum of two dice?

The expectation of the sum of two (independent) dice is the sum of expectations of each die, which is 3.5 + 3.5 = 7. Similarly, for N dice throws, the expectation of the sum should be N * 3.5. If you’re taking only the maximum value of the two dice throws, then your answer 4.47 is correct.

What is discrete in probability?

A discrete probability distribution counts occurrences that have countable or finite outcomes. This is in contrast to a continuous distribution, where outcomes can fall anywhere on a continuum. Common examples of discrete distribution include the binomial, Poisson, and Bernoulli distributions.

What is a discrete variable example?

Discrete variables are countable in a finite amount of time. For example, you can count the change in your pocket. You can count the money in your bank account. You could also count the amount of money in everyone’s bank accounts.

What kind of variable is rolling a dice?

Overview. A random variable is a variable that is subject to variations due to random chance. One can think of a random variable as the result of a random experiment, such as rolling a die, flipping a coin, picking a number from a given interval.

What is discrete in statistics?

A discrete distribution is one in which the data can only take on certain values, for example integers. A continuous distribution is one in which data can take on any value within a specified range (which may be infinite).

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Is weight discrete or continuous?

Continuous data is data that can take any value. Height, weight, temperature and length are all examples of continuous data.

Is income discrete or continuous?

Income is a continuous variable. Household size and number of computers are discrete variables.

Is size discrete or continuous?

Discrete data is numerical data that can only take certain values. The number of people on a fair ground ride, the score on a pair of dice, or a shoe size are all examples of discrete data. Continuous data is numerical data that can take any value within a given range.