Patients given drug therapy either improve, remain the same, or degrade with probabilities 0 5, 0 4, 0 1, respectively Suppose that 20 patients (assumed to be independent) are given the therapy Let X 1 ,X 2 , and X 3 denote the number of patients who improved, stayed the same, or became degraded Determine the following (a) Are X 1 ,X 2 ,X 3 independent (b) P(X 1 10) (c) P(X 1 10,X 2 8,X 3 2) (d) P(X 1 5 X 2 12) (e) E(X 1 )

Question: Patients given drug therapy either improve, remain the same, or degrade with probabilities 0.5, 0.4, 0.1, respectively. Suppose that 20 patients (assumed to be independent)

Patients given drug therapy either improve, remain the same, or degrade with probabilities 0.5, 0.4, 0.1, respectively. Suppose that 20 patients (assumed to be independent) are given the therapy. Let X₁,X₂, and X₃ denote the number of patients who improved, stayed the same, or became degraded. Determine the following.

(a) Are X₁,X₂,X₃ independent?

(b) P(X₁ =10)

(d) P(X₁ = 5 | X₂ = 12)

(e) E(X₁)

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