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Choose the correct alternative: Value which is obtained by multiplying possible values of a random variable with a probability of occurrence and is equal to the weighted average is called - Business Mathematics and Statistics

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प्रश्न

Choose the correct alternative:

Value which is obtained by multiplying possible values of a random variable with a probability of occurrence and is equal to the weighted average is called

पर्याय

  • Discrete value

  • Weighted value

  • Expected value

  • Cumulative value

MCQ
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उत्तर

Expected value

shaalaa.com
Mathematical Expectation
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 6: Random Variable and Mathematical expectation - Exercise 6.3 [पृष्ठ १४१]

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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 1 | पृष्ठ १४१

संबंधित प्रश्‍न

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

`f(x) = {{:(1/10, x = 2","  5),(1/5, x = 0","  1","  3","  4):}`


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 time to failure in thousands of hours of an electronic equipment used in a manufactured computer has the density function
`f(x) = {{:(3"e"^(-3x), x > 0),(0, "eleswhere"):}`
Find the expected life of this electronic equipment


Choose the correct alternative:

If X is a binomial random variable with I expected value 6 and variance 2.4, Then P(X = 5) is


Let X be a continuous random variable with probability density function
`"f"_x(x) = {{:(2x",", 0 ≤ x ≤ 1),(0",",  "otherwise"):}`
Find the expected value of X


How do you defi ne variance in terms of Mathematical expectation?


The number of miles an automobile tire lasts before it reaches a critical point in tread wear can be represented by a p.d.f.
f(x) = `{{:(1/30 "e"^(- x/30)",",  "for"  x > 0),(0",",  "for"  x ≤ 0):}`
Find the expected number of miles (in thousands) a tire would last until it reaches the critical tread wear point


Choose the correct alternative:

A probability density function may be represented by


Choose the correct alternative:

E[X – E(X)] is equal to


Choose the correct alternative: 

A listing of all the outcomes of an experiment and the probability associated with each outcome is called


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