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AP StatisticsRandom Variables1.A commuter must pass through five traffic lights on her way to work and will haveto stop at each one that is red. She estimates the probability model for the number of red lights she hits, as shown below.X = # of red lights012345P(X = x)0.050.250.350.150.150.05a.How many red lights should she expect to hit each day?b.What’s the standard deviation?2.A couple plans to have children until they get a girl, but they agree that they will not have more than three children even if all are boys. (Assume boys and girls are equally likely).a.Create a probability model for the number of children they’ll have.