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प्रश्न
Choose the correct alternative:
The probability density function p(x) cannot exceed
विकल्प
zero
one
mean
infinity
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उत्तर
one
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संबंधित प्रश्न
The distribution of a continuous random variable X in range (– 3, 3) is given by p.d.f.
f(x) = `{{:(1/16(3 + x)^2",", - 3 ≤ x ≤ - 1),(1/16(6 - 2x^2)",", - 1 ≤ x ≤ 1),(1/16(3 - x)^2",", 1 ≤ x ≤ 3):}`
Verify that the area under the curve is unity.
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):}`
What is the probability that a person will have to wait (i) more than 3 minutes, (ii) less than 3 minutes and (iii) between 1 and 3 minutes?
Define random variable
Define dicrete random Variable
What do you understand by continuous random variable?
Explain the distribution function of a random variable
Explain the terms probability Mass function
Explain the terms probability density function
What are the properties of continuous random variable?
Choose the correct alternative:
In a discrete probability distribution, the sum of all the probabilities is always equal to
