continuous random variable and uniform distribution please follow the comment. A random number generator spits out...

continuous random variable and uniform distribution

please follow the comment. A random number generator spits out a random real number in the range [1,4]

assume each number is equally likely being out.

what is the probability that the model output an irrational number?

the answer is 1, but i don't understand

Expert Solution

Probability of model output an irrational number is 1 because random number generator generally generates values upto 6 to 10 decimal places which is an irrational number. Therefore, every real number generated by random number generator in the range [1,4] is an irrational number.

To generate random number we need a calculator or mathematical software. I am using R studio to generate random number from uniform distribution [1,4]. Look at the image below:

I have generated 10 random number first and then 100 random number from uniform distribution[1,4]. In both cases all random numbers generated are irrational number i.e real number in 6 decimals.

Probability laws states that probability ranges from 0 to 1.

Probability is equal to 1 means that event is certain to happen which is in the case of above question. Irrational number is generated everytime, therefore, it is certain to happen. Therefore, probability is 1.

orchestra answered 2 years ago

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