Consider randomly selecting a student who is among the 14,000 registered for the current semester in a college. let be the number of courses the selected student is taking, and suppose that has the following probability distribution: 1 2 3 4 5 6 7 0.02 0.01 0.20 0.17 0.39 0.20 0.01 find the expected number of courses a student is taking in this semester (write it up to second decimal place).

Step-by-step explanation:

Let be X the event : ''The number of courses the selected student is taking''

X is a discrete random variable.

X has the following probability function :

Let's check that f(x) is a probability function :

The sumatory of all it ranges must be equal to 1

Then f(x) defines a probability function.

The expected number of the random variable X is :

The sum of all its xi.f(xi) from i = 1 to n

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