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3. A meeting of consuls was attended by 4 Americans and 2 Germans. If threeconsuls were selected at random one after the other, determine the values ofthe random variable G representing the number of Germans. |
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Answer» Given : A meeting of CONSULS was attended by 4 Americans and 2 Germans. three consuls were selected at random one after the other, To Find : determine the values of the random variable G representing the number of Germans. Solution: Americans A = 4 Germans G = 2 Total = 6 3 out of 6 can be selected in ⁶C₃ = 20 Ways Germans can be 0 , 1 or 2 three consuls were selected G = 0 => ⁴C₃*²G₀ = 4 Ways G = 1 => ⁴C₂*²G₁ = 12 Ways G = 2 => ⁴C₁*²G₂ = 4 Ways G P (G) G. P(G) 0 4/20 =0.2 0 1 12/20 =0.6 0.6 2 4/20 =0.2 0.4 Expected VALUE = ∑ G. P(G) = 0 + 0.6 + 0.4 = 1 Learn More: Find the PROBABILITY distribution of the numbers obtained in throwing ... there three urns. the first urn contains 3 green balls and 2 WHITE balls ... A sample of four chocolate bars are randomly selected from a box of ... |
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