Q: What is meant by a continuous random variable?

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True

Yes. It is a continuous variable. As used in probability theory, it is an example of a continuous random variable.

it is a continuous random variable,mound or bell shaped curve

It is a continuous variable.

No, Patient's gender is not a continuous variable. It is discrete variable.

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It is a discrete random variable.

True

Yes. It is a continuous variable. As used in probability theory, it is an example of a continuous random variable.

A discrete random variable is a variable that can only take some selected values. The values that it can take may be infinite in number (eg the counting numbers), but unlike a continuous random variable, it cannot take any value in between valid results.

continuous random variable

Usually we consider a random variable which assigns a value to the outcome of an event. The value assigned to the outcome can be either discrete or continuous. The continuous random variable is a random variable whose domain is defined over a continuous range. Examples: Daily inches of rain, speed of cars on highway, purchases made everyday at grocery stores.

No. The probability that a continuous random variable takes a specific value is always zero.

it is a continuous random variable

Yes.

Zero.

You integrate the probability distribution function to get the cumulative distribution function (cdf). Then find the value of the random variable for which cdf = 0.5.

There is an exact number of miles for a given route on a trip. However, the measurement of the distance from the odometer some small and possibly random errors, so the measured distances could be considered a continuous random variable.