alleryStart learning →A weighted sum of independent normal variables is itself?
- Uniform
- Poisson
- Normal
- Binomial
Show answer and solution
Correct answer: C. Normal
Any linear combination of independent normal deviates stays normal.
CA Foundation Theoretical Distributions — practice questions — page 3
Explore 64 free Theoretical Distributions questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.
Practise Theoretical Distributions with Quill →Theoretical Distributions questions and exercises with answers
Showing questions 61–64 of 64.
A weighted sum of independent normal variables is itself?Read the answer and worked solution →Which continuous law has maximum entropy for a given mean and variance?Read the answer and worked solution →Which distribution has zero cumulants beyond the first two?Read the answer and worked solution →The quantile function of the standard normal is called what?Read the answer and worked solution →
Worked practice questions
Which continuous law has maximum entropy for a given mean and variance?
- Uniform
- Cauchy
- Exponential
- Normal
Show answer and solution
Correct answer: D. Normal
Among continuous laws with fixed mean and variance, the normal has the largest entropy.
Which distribution has zero cumulants beyond the first two?
- Poisson
- Exponential
- Binomial
- Normal
Show answer and solution
Correct answer: D. Normal
Only the normal law has all cumulants beyond the mean and variance equal to zero.
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