Advertisements
Advertisements
Question
Define random variable
Advertisements
Solution
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
RELATED QUESTIONS
An urn contains 5 mangoes and 4 apples. Three fruits are taken at random. If the number of apples taken is a random variable, then find the values of the random variable and number of points in its inverse images
The discrete random variable X has the probability function
| X | 1 | 2 | 3 | 4 |
| P(X = x) | k | 2k | 3k | 4k |
Show that k = 0 1
Two coins are tossed simultaneously. Getting a head is termed a success. Find the probability distribution of the number of successes
What do you understand by continuous random variable?
State the properties of distribution function.
Choose the correct alternative:
If we have f(x) = 2x, 0 ≤ x ≤ 1, then f(x) is a
Choose the correct alternative:
Which one is not an example of random experiment?
Choose the correct alternative:
In a discrete probability distribution, the sum of all the probabilities is always equal to
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):}`
Is X a discrete random variable? Justify your answer
