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Question

Give difference and examples of random experiment and deterministic experiment

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Solution

In probability theory, an experiment or trial (see below) is any procedure that can be infinitely repeated and has a well-defined set of possible outcomes, known as the samplespace. An experiment is said to be random if it has more than one possible outcome, anddeterministic if it has only one.

deterministic process
examples:
  • Rolling a fair die: each number on a six-sided die has the same odds (1/6) of coming up.
  • Calculating what your savings account balance will be in a month (add up your deposits and the prevailing interest rate).
  • The relationship between a circumference and radius of a circle, or the area and radius of a circle.
Random experiment
Examples :
Here are examples of random experiments. Give the corresponding sample
space.
1. selection of a plastic component and verification of its compliance
2. lifetime of a computer
3. number of calls to a communication system during a fixed length inter-
val of time
4. The selection of two tools without replacement among a box of three
tools.
5. The selection of three tools with remplacement among a box of two
tools.

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