Advertisements
Advertisements
Question
Distinguish between discrete and continuous random variables.
Solution
Discrete Variable | Continuous Variable |
1. A variable which can take only certain values. | 1. A variable which can take any value in a particular limit. |
2. The value of the variables can increase incomplete numbers. | 2. Its value increases infractions but not in jumps. |
3. Example: Number of students who opt for commerce in class 11, say 30, 35, 40, 45, and 50. | 3. Example: Height, Weight and age of family members: 50.5 kg, 30 kg, 42.8 kg and 18.6 kg. |
4. Binomial, Poisson, Hypergeometric probability distributions come under this category. | 4. Normal, student’s t and chi-square distribution come under this category. |
APPEARS IN
RELATED QUESTIONS
Two balls are chosen randomly from an urn containing 6 red and 8 black balls. Suppose that we win ₹ 15 for each red ball selected and we lose ₹ 10 for each black ball selected. X denotes the winning amount, then find the values of X and number of points in its inverse images
Suppose that the time in minutes that a person has to wait at a certain station for a train is found to be a random phenomenon with a probability function specified by the distribution function
F(x) = `{{:(0",", "for" x ≤ 0),(x/2",", "for" 0 ≤ x < 1),(1/2",", "for" ≤ x < 2),(x/4",", "for" 2 ≤ x < 4),(1",", "for" x ≥ 4):}`
Is the distribution function continuous? If so, give its probability density function?
Describe what is meant by a random variable
Explain the terms probability distribution function
What are the properties of continuous random variable?
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 probability density function p(x) cannot exceed
The probability distribution function of a discrete random variable X is
f(x) = `{{:(2k",", x = 1),(3k",", x = 3),(4k",", x = 5),(0",", "otherwise"):}`
where k is some constant. Find P(X > 2)
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`