Question: Consider two independent experiments testing for two different and independent genetic mutations in rabbits. Experiment A: Tests 12 rabbits for a mutation that occurs with

Consider two independent experiments testing for two different and independent genetic mutations in rabbits.

Experiment A: Tests 12 rabbits for a mutation that occurs with probability 0.1. Let X be the number of these rabbits w/ this mutation.

Experiment B: Tests 16 rabbits for a mutation that occurs with probability 0.25. Let Y be the number of these rabbits w/ this mutation.

(a) Compute P(X 6)

(b) Compute P(10 Y ).

(c) Compute the joint probability P(X = 4, Y = 6).

(d) Compute the joint probability P(X 3 and Y 4)

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