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Question

Which of the following is NOT an approach for assigning the probability of the event?

This question was previously asked in
SSC CGL 2018 (Tier 2) Statistics Previous Year Paper (22-feb-2018)
The correct answer is

Personal approach

The three textbook approaches for assigning probability are the Classical (equally likely outcomes), the Relative Frequency / Statistical / Empirical approach (based on observed data), and the Subjective / Personal approach (based on individual judgement).

Among the options, “Relative frequency” and “Statistical” refer to the same empirical method, “Classical” is the equally-likely-outcomes method, and “Personal” is the subjective method — all are recognised. The question expects the one that is not a distinct/standard objective approach in this list; the marked answer is Personal approach.

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Similar Questions

  1. Suppose in a certain large group, the height is approximately normally distributed with a mean of 160 cm and the standard deviation is 10. For a sample of size 16, the sampling distribution of sample mean has standard error equal to:

  2. Which of the following is NOT an example of the probability sampling technique?

  3. A completely randomised design is based on the principles of ______ and randomisation only.

  4. A sample of 30 latest returns on UTI stock reveals a mean return of $4 with a sample standard deviation of $0.13. The estimated standard error of the sample mean is:

  5. In a cluster sampling wherein the units within same cluster are highly correlated, suppose \(S_w^2\) represents the variance within the clusters and  \(S_b^2\) between clusters, then which option is correct?

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Important Questions from Sampling Theorems

  1. Four red balls, four green balls and four blue balls are put in a box. Three balls are pulled out of the box at random one after another without replacement. The probability that all the three balls are red is

  2. Three cards were drawn from a pack of 52 cards. The probability that they are a king, a queen, and a jack is

  3. A population (with mean $\mu$) follows normal distribution. Ten samples (N) are drawn at random with a mean value of “x” and standard deviation of “S”. Following table provides the confidence limits, C(t) of the cumulative probability function for Student's t - distribution two-tailed test with degree of freedom, D.

     

    C(t)

    D0.90.950.975
    91.381.832.26
    101.371.812.23
    111.361.802.20

    Which one of the following expression is correct for testing the null hypothesis $H_0: \mu = 0$ at $10\%$ significance level?

  4. If the sample size ($n$) is 25 and the standard deviation ($\sigma$) of population is 2, then the standard error (SE) of sample mean, (rounded off to one decimal place), is ________.
  5. The probability distribution function of a random variable $X$ is shown in the following figure.

     From this distribution, random samples with sample size $n = 68$ are taken. If $\bar{X}$ is the sample mean, the standard deviation of the probability distribution of $\bar{X}$, i.e. $\sigma_{\bar{X}}$ is ________ (round off to 3 decimal places).

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