Question

Four marbles are being drawn from an urn containing 8 blue and 2 red marbles. Let...

Four marbles are being drawn from an urn containing 8 blue and 2 red marbles. Let X be

the number of blue marbles drawn.

  1. (a) (6 pts) What this the probability mass function for X if the marbles are drawn with replacement.

  2. (b) (6 pts) Compute E[X] in this case?

  3. (c) (6 pts) Suppose now the four marbles were drawn without replacement. Find the prob- ability mass function.

  4. (d) (6 pts) Compute E[X] in this case.

Math   Statistics-And-Probability   
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