Fybsc Paper 2 Sem 2 Practice Test

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| By Sanjay.karande88
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Sanjay.karande88
Community Contributor
Quizzes Created: 1 | Total Attempts: 37
Questions: 30 | Attempts: 37

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Fybsc Paper 2 Sem 2 Practice Test - Quiz


Questions and Answers
  • 1. 

    For a continuous random variable, P(X= x ) = 1

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    False : For a continuous random variable, probability at any particular point is 0

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  • 2. 

    Number of goals in a football match is an example of continuous random variable.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    it is a discrete random variable

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  • 3. 

    Mean and variance is always same for Exponential distribution.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    mean =1/m and variance = 1/m^2

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  • 4. 

    Standard normal distribution is also known as Rectangular distribution.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    Continuous Uniform distribution is known as Rectangular distribution

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  • 5. 

    Critical region is known as Acceptance region.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    it is known as Rejection region

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  • 6. 

    For a continuous random variable, P(X≥ a)=P(X > a) for all a.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    for a continuous r.v. P(X=a)=0

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  • 7. 

    For Rectangular distribution, mean=standard deviation.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    true for Exponential Distribution

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  • 8. 

    The burden of justification is always on the Null hypothesis

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    it is on the Alternative hypothesis

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  • 9. 

    Variance of sampling distribution is called as Standard Error.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    standard deviation of sampling distribution is called standard error.

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  • 10. 

    Number of pages in a book is an example of continuous random variable

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    Discrete random variable

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  • 11. 

    Parameters of Standard normal distribution are : mean=1 and variance = 0

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    mean=0, variance = 1

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  • 12. 

    The region where we accept alternative hypothesis is known as Acceptance region

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    the region where we accept Null hypothesis is known as Acceptance region.

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  • 13. 

    Sample mean is a unbiased estimator of Population mean

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The statement is true because the sample mean is calculated by taking the average of a random sample from a population. Since the sample is random, it is expected to be representative of the population. Therefore, the sample mean provides an unbiased estimate of the population mean, meaning that on average, it will be equal to the true population mean.

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  • 14. 

    The Volume of Milk in a glass is an example of continuous random variable

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    volume can take any real number in a particular range.

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  • 15. 

    Sample median is an example of statistic.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    sample median is a function of sample observation and therefore it is an example of statistic

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  • 16. 

    For any continuous random variable X, P(a < X < b ) <  P( a ≤  X ≤  b)

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    for a continuous r.v. P(X=a)=0

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  • 17. 

    Following is a probability distribution function of a continuous random variable, X f(x)= x                     0 < x < 1

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    show that total integration is 1

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  • 18. 

    Temperature in Mumbai is an example of continuous random variable.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    temperature can take any real value in a particular range.

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  • 19. 

    Number of corona positive cases in Mumbai is an example of Continuous r.v.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    Discrete r.v.

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  • 20. 

    Death rate due to corono virus is an example of continuous r.v.

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    yes it can take any real number value.

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  • 21. 

    We can obtain Median of a continuous distribution using the condition :    f(x) =1/2

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    condition : F(x)=1/2 not pdf f(x)=1/2

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  • 22. 

    Forgetfulness ( lack of Memory) is the property associated with Rectangular distribution.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    with Exponential distribution

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  • 23. 

    Bias = E(estimator)-parameter

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The statement "Bias = E(estimator)-parameter" is true. Bias refers to the difference between the expected value of an estimator and the true parameter being estimated. It measures the systematic error in the estimation process. Therefore, the given statement accurately represents the concept of bias.

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  • 24. 

    Power of test = 1 – P(Type I error )

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    Power of test = 1 – P(Type II error )

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  • 25. 

    With usual notations, f’(x)=F(x).

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    With usual notations, f(x)=F'(x).

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  • 26. 

    P(Type 1 error) = P ( Reject Ho / Ho is true)

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    The statement is true because a Type 1 error occurs when the null hypothesis (Ho) is true, but it is rejected based on the sample data. In other words, it is the probability of incorrectly rejecting a true null hypothesis. Therefore, the probability of Type 1 error is indeed P(Reject Ho / Ho is true).

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  • 27. 

    F(x)= 1/ (a-b)         if a < x < b

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    f(x)= 1/ (b-a)         if a < x < b  see the range of x

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  • 28. 

    If X~ N(mean=5, Variance = 4) then 2X~N(10, 8)

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    2X~N(10, 16)

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  • 29. 

    Parameter is a function of population values

    • A.

      True

    • B.

      False

    Correct Answer
    A. True
    Explanation
    This statement is true because a parameter is a numerical summary of a population, and it is typically calculated using population values. A parameter represents a characteristic of the entire population, such as the mean or standard deviation. In contrast, a statistic is a numerical summary of a sample, which represents only a subset of the population. Therefore, a parameter is indeed a function of population values.

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  • 30. 

    Statistic is a branch of mathematics with deals with uncertain events.

    • A.

      True

    • B.

      False

    Correct Answer
    B. False
    Explanation
    Statistic (without 's') is a function of sample values

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