Define random variable. A random variable X has following probability | Basic Statistics 2080

Basic Statistics20805 marksNumerical: random variable mean varianceRandom variables and probability functions

Define random variable. A random variable $X$ has following probability function. Find, (i) the value of $C$ , (ii) $P(X < 3)$ , $P(X \geq 1)$ , (iii) mean and variance.

X	0	1	2	3	4	5
P(X)	0.1	C	0.2	2C	0.3	C

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Define random variable. A random variable $X$ has following probability function. Find, (i) the value of $C$, (ii) $P(X < 3)$, $P(X \geq 1)$, (iii) mean and variance.

X	0	1	2	3	4	5
P(X)	0.1	C	0.2	2C	0.3	C

[5]

A random variable is a real-valued function that assigns a numerical value to each outcome in the sample space of a random experiment. Random variables are classified as discrete (countable values) or continuous (values over an interval). X 0 1 2 3 4 5 --------------------- P(X) 0.1 C 0.2 2C 0.3 ...

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Define random variable. A random variable X has following probability function. Find, (i) the value of C, (ii) P(X < 3), P(X geq 1), (iii) mean and variance. | X | 0 | 1 | 2 | 3 | 4 | 5 | |---|---|---|---|---|---|---| | P(X) | 0.1 | C | 0.2 | 2C | 0.3 | C |