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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Exercise 3.4.7. (Repeated from Lecture 3.4). Let RE,
of hamburgers eaten (X) has a probability distribution [wrt RE,] characterized by P(X= 0) = 0.5,
P(X = 1) = 0.4, P(X = 2) = 0.1.
= "Nature generates a party attendee." The number
%3D
a) What is the mean of X, mean(X:RE1)?
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?
Transcribed Image Text:Exercise 3.4.7. (Repeated from Lecture 3.4). Let RE, of hamburgers eaten (X) has a probability distribution [wrt RE,] characterized by P(X= 0) = 0.5, P(X = 1) = 0.4, P(X = 2) = 0.1. = "Nature generates a party attendee." The number %3D a) What is the mean of X, mean(X:RE1)? 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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