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I need your help solving this problem. Please help me by answering and explanations. Problem 2. Each part of this problem describes a random variable.

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I need your help solving this problem. Please help me by answering and explanations.

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Problem 2. Each part of this problem describes a random variable. Indicate what kind of discrete random variable it is (hypergeometric, Poisson, etc.) and its mean and standard deviation, in addition to anything else asked. (a) I need to find 10 volunteers for a survey; the probability any given person agrees to take my survey is 0.05. X is the number of people I ask until I find all of the volunteers. (b) 3 of the 10 volunteers have the unfortunate disease rubella combinatorica. I split my volunteers into a control group and an experimental group, each containing 5 members. Y is the number of volunteers in the control group who have rubella combinatorica. What is P(Y = 2)? (c) I am standing at a street corner. T is the number of empty taxis which drive by in the next 30 minutes; on average, an empty taxi drives by once every five minutes. What is the probability that at least one empty taxi drives by? (d) Once I'm in the taxi, the route to my home will pass 15 traffic signals. If the probability that each traffic signal is green when the taxi arrives is 0.6 (independent of all other traffic signals), Z is the number of times the taxi has to stop at a red light

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