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JEE Advanced Statistics and Probability — practice questions — page 4

Explore 125 free Statistics and Probability questions in JEE Advanced 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 91–120 of 125.

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 →A die is rolled and E is the event of getting a multiple of 7. The event E is best described as:Read the answer and worked solution →In a random experiment with sample space S, the event S itself always occurs. Such an event is called:Read the answer and worked solution →An event containing exactly one sample point of the sample space is called:Read the answer and worked solution →The probability of an event A is 0.7. The probability of its complement, not-A, equals:Read the answer and worked solution →A fair die is rolled once. The probability of getting an even number is:Read the answer and worked solution →Two events that cannot occur together in a single trial are called:Read the answer and worked solution →A coin is tossed three times. The number of outcomes in the sample space is:Read the answer and worked solution →A fair die is rolled once. The probability that the number shown is a multiple of 3 is:Read the answer and worked solution →One card is drawn from a well-shuffled pack of 52 cards. The probability that it is an ace is:Read the answer and worked solution →For two events, P(A) = 0.35, P(B) = 0.45 and P(A and B) = 0.20. Then P(A or B) equals:Read the answer and worked solution →A and B are mutually exclusive with P(A) = 1/4 and P(B) = 1/3. The probability that A or B occurs is:Read the answer and worked solution →In set notation, the event 'A occurs but B does not occur' is written as:Read the answer and worked solution →Events E1, E2, ..., En of a sample space are called exhaustive when:Read the answer and worked solution →Two dice are thrown together. The total number of outcomes in the sample space is:Read the answer and worked solution →Under the axiomatic approach, the probability of the sure event S equals:Read the answer and worked solution →For two events, P(A) = 0.44, P(B) = 0.46 and P(A and B) = 0.16. Then P(A or B) is:Read the answer and worked solution →With P(A) = 0.44, P(B) = 0.46 and P(A and B) = 0.16, the probability that neither A nor B occurs is:Read the answer and worked solution →Given P(A or B) = 0.8, P(A) = 0.5 and P(A and B) = 0.2, the value of P(B) is:Read the answer and worked solution →One card is drawn from a pack of 52. The probability that it is a spade or an ace is:Read the answer and worked solution →Two dice are thrown. The probability that the sum of the numbers is 8 equals:Read the answer and worked solution →For any two events A and B, the probability that neither occurs always equals:Read the answer and worked solution →Two dice are thrown together. The probability of getting a doublet is:Read the answer and worked solution →One card is drawn from a pack of 52. The probability that it is neither a king nor a queen is:Read the answer and worked solution →A, B and C are mutually exclusive and exhaustive with P(A) = 1/2 and P(B) = 1/3. Then P(C) equals:Read the answer and worked solution →A fair coin is tossed three times. The probability of getting at least one head is:Read the answer and worked solution →

Worked practice questions

Complete the reason absolute values appear

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Missing parts
  1. Answer
    distance
    Choices
    1. distance
    2. average
    3. sum
  2. Answer
    number line
    Choices
    1. number line
    2. frequency table
    3. histogram
  3. Answer
    signed
    Choices
    1. signed
    2. positive
    3. squared
Complete the statement
The absolute value of the difference of two numbers gives the {0} between them on a {1}. That is why dispersion is measured from absolute deviations rather than {2} ones.
It comes down to what the absolute difference of two numbers means. Source: syllabus Maths, Ch 13 Statistics.

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Central value choices

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Questions
  1. Question
    M.D.(x̄) is mean deviation about the
    Choices
    1. median
    2. mode
    3. mean
    Correct choice
    mean
  2. Question
    M.D.(M) is mean deviation about the
    Choices
    1. median
    2. mean
    3. maximum
    Correct choice
    median
  3. Question
    In grouped data, the divisor is
    Choices
    1. n, the number of classes
    2. N, the total frequency
    3. the range
    Correct choice
    N, the total frequency
Mean deviation can be taken about the mean or about the median. Source: syllabus Maths, Ch 13 Statistics.

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Assertion and reason: choosing a measure

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Questions
  1. Reason
    It ignores every observation except the two extremes.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Range alone is a poor description of a data set.
  2. Reason
    Taking the square root returns it to the units of the original data.
    Verdict
    Both are true; the reason explains the assertion.
    Assertion
    Standard deviation is reported more often than variance.
  3. Reason
    The sum of deviations from the mean is zero.
    Verdict
    Both are true; the reason does not explain the assertion.
    Assertion
    The mean is a measure of central tendency.
The last round pairs two true halves that do not explain one another. Source: syllabus Maths, Ch 13 Statistics.

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