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Choose the correct alternative: A probability density function may be represented by

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प्रश्न

Choose the correct alternative:

A probability density function may be represented by

विकल्प

  • Table

  • Graph

  • Mathematical equation

  • Both (b) and (c)

MCQ
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उत्तर

Both (b) and (c)

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Mathematical Expectation
  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 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
अध्याय 6 Random Variable and Mathematical expectation
Exercise 6.3 | Q 11 | पृष्ठ १४२

संबंधित प्रश्न

For the random variable X with the given probability mass function as below, find the mean and variance.

`f(x) = {{:((4 - x)/6,  x = 1","  2","  3),(0,  "otherwise"):}`


A commuter train arrives punctually at a station every half hour. Each morning, a student leaves his house to the train station. Let X denote the amount of time, in minutes, that the student waits for the train from the time he reaches the train station. It is known that the pdf of X is

`f(x) = {{:(1/30, 0 < x < 30),(0, "elsewhere"):}`
Obtain and interpret the expected value of the random variable X


The probability density function of the random variable X is given by

`f(x) = {{:(16x"e"^(-4x), x > 0),(0, x ≤ 0):}`
find the mean and variance of X


The following table is describing about the probability mass function of the random variable X

x 3 4 5
P(x) 0.2 0.3 0.5

Find the standard deviation of x.


In a business venture a man can make a profit of ₹ 2,000 with a probability of 0.4 or have a loss of ₹ 1,000 with a probability of 0.6. What is his expected, variance and standard deviation of profit?


A person tosses a coin and is to receive ₹ 4 for a head and is to pay ₹ 2 for a tail. Find the expectation and variance of his gains


Choose the correct alternative:

Probability which explains x is equal to or less than a particular value is classified as


Choose the correct alternative:

E[X – E(X)] is equal to


Prove that if E(X) = 0, then V(X) = E(X2)


What is the expected value of a game that works as follows: I flip a coin and if tails pay you ₹ 2; if heads pay you ₹ 1. In either case, I also pay you ₹ 0.50


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