Advertisements
Advertisements
प्रश्न
Define random variable
उत्तर
A random variable (r.v.) is a real-valued function defined on a sample space S and taking values in `(-∞, ∞)` or whose possible values are numerical outcomes of a random experiment.
APPEARS IN
संबंधित प्रश्न
The discrete random variable X has the probability function.
| Value of X = x |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| P(x) | 0 | k | 2k | 2k | 3k | k2 | 2k2 | 7k2 + k |
Evaluate p(x < 6), p(x ≥ 6) and p(0 < x < 5)
The discrete random variable X has the probability function.
| Value of X = x |
0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| P(x) | 0 | k | 2k | 2k | 3k | k2 | 2k2 | 7k2 + k |
If P(X ≤ x) > `1/2`, then find the minimum value of x.
Explain the terms probability density function
State the properties of distribution function.
Choose the correct alternative:
A formula or equation used to represent the probability distribution of a continuous random variable is called
Choose the correct alternative:
If c is a constant, then E(c) is
Choose the correct alternative:
If the random variable takes negative values, then the negative values will have
Choose the correct alternative:
A set of numerical values assigned to a sample space is called
Choose the correct alternative:
The height of persons in a country is a random variable of the type
Let X be a random variable with a cumulative distribution function.
F(x) = `{{:(0",", "if" x < 0),(x/8",", "if" 0 ≤ x ≤ 1),(1/4 + x/8",", "if" 1 ≤ x ≤ 2),(3/4 + x/12",", "if" 2 ≤ x < 3),(1",", "for" 3 ≤ x):}`
Compute: (i) P(1 ≤ X ≤ 2) and (ii) P(X = 3)
