1. For a standard normal variate, the value of Standard Deviation is ___________
a) 0
b) 1
c) ∞
d) not defined
Explanation: If the mean and standard deviation of a normal variate are 0 and 1 respectively, it is called as standard normal variate. Here the converse is asked.
2. Normal Distribution is also known as ___________
a) Cauchy’s Distribution
b) Laplacian Distribution
c) Gaussian Distribution
d) Lagrangian Distribution
Explanation: Gaussian Distribution
3. Skewness of Normal distribution is ___________
a) Negative
b) Positive
c) 0
d) Undefined
Explanation: Since the normal curve is symmetric about its mean, its skewness is zero. This is a theoretical explanation for mathematical proofs
4. For a normal distribution its mean, median, mode are equal.
a) True
b) False
Explanation: True
5. In Normal distribution, the highest value of ordinate occurs at ___________
a) Mean
b) Variance
c) Extremes
d) Same value occurs at all points
Explanation: Mean
6. The shape of the normal curve depends on its ___________
a) Mean deviation
b) Standard deviation
c) Quartile deviation
d) Correlation
Explanation: Standard deviation
7. The value of constant ‘e’ appearing in normal distribution is ___________
a) 2.5185
b) 2.7836
c) 2.1783
d) 2.7183
Explanation: This is a standard constant.
8. In Standard normal distribution, the value of mode is ___________
a) 2
b) 1
c) 0
d) Not fixed
Explanation: In a standard normal distribution, the value of mean is 0 and in normal distribution mean and mode coincide.
9. In Standard normal distribution, the value of median is ___________
a) 1
b) 0
c) 2
d) Not fixed
Explanation: In a standard normal distribution the value of mean is o and in normal distribution mean, median and mode coincide.
10. The mean of exponential distribution is given as __________
a) 1/λ
b) λ
c) λ2
d) 1/λ2
Explanation: The mean of Exponential distribution is given as 1/λ and variance as 1/λ2.
E(X)=1/λ.