Advertisements
Advertisements
प्रश्न
Explain the terms probability distribution function
Advertisements
उत्तर
The probability distribution of a random variable X is defined only when we have the various values of the random variable e.g. x1, x2 …… xn together with respective probabilities p1, p2, p3 …… p4 satisfying
`sum_("i" = 1)^"n" "PI"` =1
APPEARS IN
संबंधित प्रश्न
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
Explain what are the types of random variable?
Describe what is meant by a random variable
Explain the distribution function of a random variable
What are the properties of discrete random variable
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:
A discrete probability function p(x) is always
Choose the correct alternative:
The probability density function p(x) cannot exceed
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(0 ≤ X ≤ 10)
The probability density function of a continuous random variable X is
f(x) = `{{:(a + bx^2",", 0 ≤ x ≤ 1),(0",", "otherwise"):}`
where a and b are some constants. Find Var(X)
