Advertisements
Advertisements
प्रश्न
The probability function of a random variable X is given by
p(x) = `{{:(1/4",", "for" x = - 2),(1/4",", "for" x = 0),(1/2",", "for" x = 10),(0",", "elsewhere"):}`
Evaluate the following probabilities
P(|X| ≤ 2)
उत्तर
| X | – 2 | 0 | 10 |
| P(X = x) | `1/4` | `1/4` | `1/2` |
P(|x| ≤ 2) = P(– 2 ≤ X ≤ 2)
= P(X = – 2) + P(X = 0)
= `1/4 + 1/4`
= `2/4`
= `1/2`
APPEARS IN
संबंधित प्रश्न
Suppose X is the number of tails occurred when three fair coins are tossed once simultaneously. Find the values of the random variable X and number of points in its inverse images
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)
Explain what are the types of random variable?
Describe what is meant by a random variable
Explain the terms probability Mass function
Choose the correct alternative:
A set of numerical values assigned to a sample space is called
Choose the correct alternative:
A discrete probability function p(x) is always
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
The probability density function of a continuous random variable X is
f(x) = `{{:("a" + "b"x^2",", 0 ≤ x ≤ 1),(0",", "otherwise"):}`
where a and b are some constants. Find a and b if E(X) = `3/5`
