Page 45 - Math SL HB Sem 3

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\. Example:

The following table shows the probability distribution of a discrete random variable X. I

x -2 0 2 3 4
P(x x) 0.3 0_2 k 0.1 0.07
=
a) Find the value of k.
b) Find the expected value of X.

Solution:

\. Examp

John did an experiment by throwing two fair dice, A and B. The score for each die is the number
facing up.
a) Write down the sample space.
b) Find the probability of getting two scores of 6.
c) Let the number of 6s facing up be x. Construct a probability distribution table for x.
d) Calculate E(X).

\. sotution:

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