kercise 3.4.7. (Repeated from Lecture 3.4). Let RE, ="Nature generates a party attendee." The number f hamburgers eaten (X) has a probability distribution [wrt RE,] characterized by P(X = 0) = 0.5, (X = 1) = 0.4, P(X = 2) = 0.1. %3D a) What is the mean of X, mean(X:RE,)? b) What is the standard deviation of X, sd(X:RE,)? c) If 500 people will attend the party (i.e. RE,(500) will be carried out), what are the chances that they will eat more than 350 hamburgers? d) If 500 people will attend the party (i.e. RE,(500) will be carried out), how many hamburgers should be ordered so that there is only a 5% chance of running short?

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