All Exams Test series for 1 year @ ₹349 only
Question

The Excess Kurtosis of the Geometric distribution with parameter p is:

This question was previously asked in
SSC CGL 2018 (Tier 2) Statistics Previous Year Paper (22-feb-2018)
The correct answer is \(6 + \dfrac{p^2}{1-p}\)

For a Geometric distribution with parameter \(p\) (counting failures before first success, support \(k=0,1,2,\ldots\)), the standard formula for excess kurtosis is:

\[\gamma_2 = \frac{p^2}{1-p} + 6\]

This is derived from the fourth central moment divided by the square of the variance, minus 3. Matching with the options, the answer is \(6 + \dfrac{p^2}{1-p}\).

Was this answer helpful?

Similar Questions

  1. If the data are skewed, which option of central tendency measure is the most unreliable indicator?

  2. For a distribution, the mean is 10, variance is 16, γ 1is + 1 and β 2is 4. The distribution is:

  3. For the discrete distribution, the Pearson's coefficient of skewness β 2is always:

  4. 60% of the employees of a company are college graduates. Of these, 10% are in sales. Of the employees who did not graduate from college, 80% are in sales. The probability that an employee selected at random is in sales, is:

  5. The probability that a contractor gets a plumbing contract is 2 / 3 and the probability that he will not get an electric contract is 5 / 9. If the probability of getting at least one contract is 4 / 5, then the probability that he will get both the contracts is:

  6. For a frequency distribution of a variable x, mean = 32, median = 30. The distribution is:

  7. If μ 4, = 199, μ 3= 50 and μ 2= 8, then the value of excess kurtosis is:

  8. For a distribution with mean, median, mode and standard deviation 25, 24, 26 and 5 respectively, Karl Pearson's coefficient of skewness equals to:

  9. For a distribution, the percentile partition values are P 10 = 58.983, P 50 = 61.345 and P 90 = 63.831. Kelly's coefficient of skewness is:

  10. A box contains four soccer balls printed with numbers 112, 121, 211. 222. A footballer chooses one ball at random. Let A 1be the event that the first digit of the printed number of the ball chosen is 1. Similarly, A 2and A 3denote that second as well as third digit of the printed number is 1. The events A 1,A 2, and A 3are:


Important Questions from Basics of Probability

  1. If the data are skewed, which option of central tendency measure is the most unreliable indicator?

  2. Events A, Band C are mutually exclusive events such that \(P(A) = \dfrac{3x + 1}{3}, P(B) = \dfrac{1-x}{4}\)and \(P(C) = \dfrac{1-2x}{4}\)The set of possible values of x are in the interval

  3. Let A, B be two events in a discrete probability space with ℙ(A) > 0 and ℙ(B) > 0. Which of the following are necessarily true?

  4. For a distribution, the mean is 10, variance is 16, γ 1is + 1 and β 2is 4. The distribution is:

  5. For the discrete distribution, the Pearson's coefficient of skewness β 2is always:

Need Expert Advice?
Upcoming Exams
UPSSSC PET
October 25, 2026
SSC JE
November 02, 2026
SSC CPO
November 20, 2026
SSC CHSL
November 30, 2026
Test Series
SSC CGL img
SSC
SSC CGL (Tier I + Tier II) 2026 Mock Test Series - Latest Pattern
2503 Tests 6 Tests Free
8425 Attempts
4.2(923)
English, Hindi

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App