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Part BCSIR NET June 2024chi-squared-two-df-is-exponential

Chi squared two df is exponential

Let be a random sample from distribution, where and denotes a normal distribution with mean and variance . Suppose, for some constant is a confidence interval for variance with confidence coefficient 0.95. Then the value of c is equal to

  1. A.−2 ln(0.05)
  2. B.−2 ln(0.95)
  3. C.−1/(2 ln(0.05))
  4. D.−1/(2 ln(0.95))

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

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50 are analysed free — try those first.

Related counterexample: The maximum of independent exponentials is exponential

More on this topic

The chapter behind this: The standard distributions — free to read

From ProbabilityStandard discrete and continuous distributions

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