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CA Foundation Theoretical Distributions — practice questions — page 2

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.

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Theoretical Distributions questions and exercises with answers

Showing questions 31–60 of 64.

Simon Newcomb fitted a Poisson model to counts of what?Read the answer and worked solution →Which condition does a Poisson model assume?Read the answer and worked solution →Under Poisson assumptions, what holds for simultaneous events?Read the answer and worked solution →A call centre averages 3 calls a minute. P(no calls in a minute)?Read the answer and worked solution →Calls arrive at 3 per minute on average. What is the mean over 5 minutes?Read the answer and worked solution →A Poisson variable has mean 2. What is P(X >= 1)?Read the answer and worked solution →In the Poisson formula, e is approximately equal to what?Read the answer and worked solution →Which values can a Poisson variable take?Read the answer and worked solution →Which count is best modelled by a Poisson distribution?Read the answer and worked solution →Why might students arriving per minute at a union fail to be Poisson?Read the answer and worked solution →Why might yearly counts of big earthquakes fail to be Poisson?Read the answer and worked solution →Counts where at least one event is guaranteed suit which model?Read the answer and worked solution →Counts with more zero intervals than Poisson predicts suit which model?Read the answer and worked solution →The Poisson distribution is also the limit of which distribution?Read the answer and worked solution →Which physical process is a classic Poisson example?Read the answer and worked solution →Poisson suits many possible events, each of which is?Read the answer and worked solution →Which of these is a continuous probability distribution?Read the answer and worked solution →What is another name for the normal distribution?Read the answer and worked solution →The normal distribution is informally called a what?Read the answer and worked solution →About what share of normal values lies within one standard deviation?Read the answer and worked solution →What is the 68-95-99.7 rule also called?Read the answer and worked solution →Scores are normal with mean 50 and sd 10. About 68% lie between?Read the answer and worked solution →For a normal variable, about what share lies between the mean and mean + 1 sd?Read the answer and worked solution →In a normal distribution, how do mean, median and mode compare?Read the answer and worked solution →A normal distribution is symmetric about which value?Read the answer and worked solution →Over which values is the normal density non-zero?Read the answer and worked solution →A score is 70 on a normal scale with mean 50 and sd 10. What is its z-score?Read the answer and worked solution →A value 45 comes from a normal law with mean 60 and sd 5. Its z-score is?Read the answer and worked solution →What are the mean and sd of the standard normal distribution?Read the answer and worked solution →Sums of many independent variables tend toward which law?Read the answer and worked solution →

Worked practice questions

Simon Newcomb fitted a Poisson model to counts of what?

  1. Planets per star system
  2. Eclipses per century
  3. Stars in a unit of space
  4. Comets seen each year
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Correct answer: C. Stars in a unit of space

In 1860 Newcomb applied the law to the number of stars found in a unit of space.

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Which condition does a Poisson model assume?

  1. Events must be perfectly regular
  2. Events always occur in pairs
  3. Events occur independently of each other
  4. Events happen only at the start
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Correct answer: C. Events occur independently of each other

One event must not change the probability of another, so occurrences are independent.

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Under Poisson assumptions, what holds for simultaneous events?

  1. They cannot occur at the same instant
  2. They occur in every interval
  3. They always occur in pairs
  4. They are twice as likely as single ones
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Correct answer: A. They cannot occur at the same instant

The model assumes that two events cannot take place at exactly the same instant.

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Time Value of MoneyProbabilityPermutations and CombinationsCorrelation and RegressionRatio and Proportion, Indices and LogarithmsSets, Relations and FunctionsMeasures of Central Tendency and DispersionStatistical Representation of Data and Sampling