Answer the question below: For example, CDF for continuous random variable Let X have a continuous...

Question

Question

Answer the question below:

For example, CDF for continuous random variable

Fx(x) +ba

Answer 1

Answer #1

For any continuous distribution,

P(X=k) = 0 for any value of k

a)

P(X= 3.14159) = 0

b) X is natural number

$P( \cup (X=n)) = \sum P(X=n)$

= 0+0+0+...+0

= 0

c) let Q be the set of rational number

$P(X\epsilon Q)$ = 0 and $P(X\epsilon Irrational)$ = 0

This will not happen when X is discrete random variable.

Answer 2

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