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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.

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.

check_circleAnswer
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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