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Diagram the sample space for all possible outcomes

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A fair regular die has six faces. Two fair dice, one red and one blue, have faces numbered 1, 2, 3, 4, 5 and 6 respectively. The dice are rolled and the sums face up on the two dice are recorded. The random variable R is the sum of the two dice. Make sure you use correct notation and mathematical language reflected in this topic.

(a) Diagram the sample space for all possible outcomes. Use a table, tree diagram or Venn diagram.

(b) Find the i)P(R=6), ii)P(R is less than 9)

(c) Construct the Probability distribution table for R

(d) Calculate the expected value of R or E(R) and describe what this means.

(e) Calculate the Standard Deviation of this probability distribution

Reference no: EM132850332

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