Question

10. A 6-sides die is rolled three times.

Part a: Construct the probability distribution table for the number of times the die will land on 6.

Part b: Determine the expected number of times the die should land on 6.

Step 1

**a.**

**Conditions to construct a probability distribution table:**

*Discrete random variable*:

If the variable *X* takes finite or countable values, then the variable *X* is said to be discrete.

*Conditions for the discrete probability distribution:*

- The probabilities of all the values of the variable
*X*must lie between 0 and 1. - The sum of probabilities of all the values of
*X*must be equal to “1”.

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