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Choose the correct alternative: If c is a constant in a continuous probability distribution, then p(x = c) is always equal to

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प्रश्न

Choose the correct alternative:

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

पर्याय

  • Zero

  • One

  • Negative

  • Does not exist

MCQ
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उत्तर

Zero

shaalaa.com
Random Variable
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Random Variable and Mathematical expectation - Exercise 6.3 [पृष्ठ १४२]

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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 12 | पृष्ठ १४२

संबंधित प्रश्‍न

The discrete random variable X has the following probability function.
P(X = x) = `{{:("k"x,  x = 2","  4","  6),("k"(x - 2),  x = 8),(0,  "otherwise"):}`
where k is a constant. Show that k = `1/18`


Two coins are tossed simultaneously. Getting a head is termed a success. Find the probability distribution of the number of successes


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


Define random variable


What do you understand by continuous random variable?


State the properties of distribution function.


Choose the correct alternative: 

A variable which can assume finite or countably infinite number of values is known as


Choose the correct alternative: 

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


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 ≤ 0)


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) 


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