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Choose the correct alternative: The height of persons in a country is a random variable of the type - Business Mathematics and Statistics

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प्रश्न

Choose the correct alternative: 

The height of persons in a country is a random variable of the type

पर्याय

  • discrete random variable

  • continuous random variable

  • both (a) and (b)

  • both (a) and (b)

MCQ
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उत्तर

continuous random variable

shaalaa.com
Random Variable
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Random Variable and Mathematical expectation - Exercise 6.3 [पृष्ठ १४३]

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सामाचीर कलवी Business Mathematics and Statistics [English] Class 12 TN Board
पाठ 6 Random Variable and Mathematical expectation
Exercise 6.3 | Q 29 | पृष्ठ १४३

संबंधित प्रश्‍न

Choose the correct alternative:

Let X represent the difference between the number of heads and the number of tails obtained when a coin is tossed n times. Then the possible values of X are


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

If P(X ≤ x) > `1/2`, then find the minimum value of x.


A continuous random variable X has the following distribution function
F(x) = `{{:(0",",  "if"  x ≤ 1),("k"(x - 1)^4",",  "if"  1 < x ≤ 3),(1",",  "if"  x > 3):}`
Find the Probability density function


The length of time (in minutes) that a certain person speaks on the telephone is found to be random phenomenon, with a probability function specified by the probability density function f(x) as 
f(x) = `{{:("Ae"^((-x)/5)",",  "for"  x ≥ 0),(0",",  "otherwise"):}`
What is the probability that the number of minutes that person will talk over the phone is (i) more than 10 minutes, (ii) less than 5 minutes and (iii) between 5 and 10 minutes


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?


Explain what are the types of random variable?


Explain the terms probability Mass function


Explain the terms probability distribution function


Choose the correct alternative:

If c is a constant in a continuous probability distribution, then p(x = c) is always equal to


Choose the correct alternative: 

Which one is not an example of random experiment?


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