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Indian Navy SSR Statistics and Probability — practice questions

Explore 28 free Statistics and Probability questions in Indian Navy SSR Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Statistics and Probability questions and exercises with answers

Showing questions 1–28 of 28.

E[X² + Y²] when X, Y are independent identically distributed with E(X) = 0, Var(X) = σ²:Read the answer and worked solution →At least one '6' in 4 throws of a fair die:Read the answer and worked solution →Tap every measure of dispersion your syllabus listsRead the answer and worked solution →Central tendency or dispersion?Read the answer and worked solution →Complete the definition of rangeRead the answer and worked solution →Working out a rangeRead the answer and worked solution →Order the argument: why mean deviation uses absolute valuesRead the answer and worked solution →True or false: why plain deviations failRead the answer and worked solution →Complete the definition of mean deviationRead the answer and worked solution →Match each measure to how it is builtRead the answer and worked solution →True or false: variance and standard deviationRead the answer and worked solution →Squared or absolute?Read the answer and worked solution →Reading the definitions backRead the answer and worked solution →True or false: what this chapter coversRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: compute a mean deviation about the meanRead the answer and worked solution →Order the steps: compute a standard deviationRead the answer and worked solution →Flip and pair: symbol with meaningRead the answer and worked solution →Grouped data or ungrouped data?Read the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every statement true of the rangeRead the answer and worked solution →Complete the reason absolute values appearRead the answer and worked solution →Central value choicesRead the answer and worked solution →Assertion and reason: choosing a measureRead the answer and worked solution →True or false: measures comparedRead the answer and worked solution →Match each idea to what it answersRead the answer and worked solution →

Worked practice questions

E[X² + Y²] when X, Y are independent identically distributed with E(X) = 0, Var(X) = σ²:

  1. 2σ²
  2. 2σ²
  3. σ²
  4. 0
Show answer and solution

Correct answer: B. 2σ²

E(X² + Y²) = E(X²) + E(Y²) = 2 × Var(X) (since E(X) = 0). = 2σ². (Used in chi-square distribution: sum of squares of standard normals.)

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At least one '6' in 4 throws of a fair die:

  1. 4/6
  2. 2/6
  3. 1 - (5/6)⁴ ≈ 0.518
  4. 2/3
Show answer and solution

Correct answer: C. 1 - (5/6)⁴ ≈ 0.518

Complementary: P(no 6 in 4) = (5/6)⁴ = 625/1296. P(at least one 6) = 1 - 625/1296 = 671/1296 ≈ 0.518.

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Tap every measure of dispersion your syllabus lists

Read exercise and reference answers
Questions
  1. Items
    1. Text
      Range
      Matches the category
      Yes
    2. Text
      Quartile deviation
      Matches the category
      Yes
    3. Text
      Mean deviation
      Matches the category
      Yes
    4. Text
      Standard deviation
      Matches the category
      Yes
    5. Text
      Mean
      Matches the category
      No
    6. Text
      Median
      Matches the category
      No
    Category
    A measure of DISPERSION
**The chapter names four:** range, quartile deviation, mean deviation and standard deviation. Mean and median are measures of CENTRAL TENDENCY, not of spread. Source: syllabus Maths, Ch 13 Statistics.

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