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Probability density function

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The incomplete probability distribution table at the right is representative of some discrete random variable x. Answer the following:
x P(X=x)
(a) Determine the value that is missing in the table. (Hint: what are the requirments for a probability distribution?) 0 0.29
1
2 0.24
(b) Find the probability that x is more than 2, that is find P(x > 2). 3 0.11
4 0.07

(c) Find P(x ≤ 2). Describe what the resulting value represents.

(d) Find the mean μ (expected value) and standard deviation σ of this probability distribution.

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The solution gives step by step guide for computing probability density function for a random variable.

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