Answer to Question #79306 in Statistics and Probability for Herin

Question

1. A game consist of first rolling an ordinary six-sided die once and then tossing an unbiased coin once. The score, which consist of adding the number of spots showing on the die to the number of heads showing on the coin (0 or 1), is a random variable, say X. List the possible value of X and tabulate the value of :
1. The discrete pdf.
2. The CDF at its points of discontinuity
3. Sketch the graph of the CDF
4. Find P[X>3]
5. Find the probility that the score is an odd integer


2. Denote by [x] the greatest integer not exceeding x. For the pdf in Example
2.2.1, show that the CDF can be represented as F(x) = ([x]/12)2 for 0 < x < 13, zero if x ≤ 0, and one if x ≥ 13.

Answer 1

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