Fybsc Paper 2 Sem 2 Practice Test
(9).webp "Fybsc Paper 2 Sem 2 Practice Test - Quiz")
- 1.
For a continuous random variable, P(X= x ) = 1
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
False : For a continuous random variable, probability at any particular point is 0Rate this question:
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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. FalseExplanation
it is a discrete random variableRate this question:
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- 3.
Mean and variance is always same for Exponential distribution.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
mean =1/m and variance = 1/m^2Rate this question:
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- 4.
Standard normal distribution is also known as Rectangular distribution.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
Continuous Uniform distribution is known as Rectangular distributionRate this question:
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- 5.
Critical region is known as Acceptance region.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
it is known as Rejection regionRate this question:
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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. TrueExplanation
for a continuous r.v. P(X=a)=0Rate this question:
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- 7.
For Rectangular distribution, mean=standard deviation.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
true for Exponential DistributionRate this question:
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- 8.
The burden of justification is always on the Null hypothesis
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
it is on the Alternative hypothesisRate this question:
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- 9.
Variance of sampling distribution is called as Standard Error.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
standard deviation of sampling distribution is called standard error.Rate this question:
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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. FalseExplanation
Discrete random variableRate this question:
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- 11.
Parameters of Standard normal distribution are : mean=1 and variance = 0
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
mean=0, variance = 1Rate this question:
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- 12.
The region where we accept alternative hypothesis is known as Acceptance region
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
the region where we accept Null hypothesis is known as Acceptance region.Rate this question:
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- 13.
Sample mean is a unbiased estimator of Population mean
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
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.Rate this question:
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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. TrueExplanation
volume can take any real number in a particular range.Rate this question:
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- 15.
Sample median is an example of statistic.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
sample median is a function of sample observation and therefore it is an example of statisticRate this question:
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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. FalseExplanation
for a continuous r.v. P(X=a)=0Rate this question:
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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. FalseExplanation
show that total integration is 1Rate this question:
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- 18.
Temperature in Mumbai is an example of continuous random variable.
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
temperature can take any real value in a particular range.Rate this question:
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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. FalseExplanation
Discrete r.v.Rate this question:
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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. TrueExplanation
yes it can take any real number value.Rate this question:
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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. FalseExplanation
condition : F(x)=1/2 not pdf f(x)=1/2Rate this question:
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- 22.
Forgetfulness ( lack of Memory) is the property associated with Rectangular distribution.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
with Exponential distributionRate this question:
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- 23.
Bias = E(estimator)-parameter
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
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.Rate this question:
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- 24.
Power of test = 1 – P(Type I error )
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
Power of test = 1 – P(Type II error )Rate this question:
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- 25.
With usual notations, f’(x)=F(x).
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
With usual notations, f(x)=F'(x).Rate this question:
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- 26.
P(Type 1 error) = P ( Reject Ho / Ho is true)
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
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).Rate this question:
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- 27.
F(x)= 1/ (a-b) if a < x < b
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
f(x)= 1/ (b-a) if a < x < b see the range of xRate this question:
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- 28.
If X~ N(mean=5, Variance = 4) then 2X~N(10, 8)
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
2X~N(10, 16)Rate this question:
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- 29.
Parameter is a function of population values
- A.
True
- B.
False
Correct Answer
A. TrueExplanation
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.Rate this question:
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- 30.
Statistic is a branch of mathematics with deals with uncertain events.
- A.
True
- B.
False
Correct Answer
B. FalseExplanation
Statistic (without 's') is a function of sample valuesRate this question:
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Apr 19, 2023Quiz Edited by
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Mar 28, 2020Quiz Created by
Sanjay.karande88
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