1.
Which of the following is true for the normal curve:
A
Symmetrical
B
Unimodel
C
Bell-shaped
D
All of the above
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Which of the following is true for the normal curve:
Symmetrical
Unimodel
Bell-shaped
All of the above
Which of the following is possible in normal distribution?
σ < 0
σ = 0
σ > 0
σ > n
The value of the standard deviation σ of a normal distribution is always:
Equal to zero
Greater than zero
Less than zero
Equal to 0.5
The value of second moment about the mean in a normal distribution is 5. The fourth moment about the mean in the distribution is:
5
15
25
75
The value of e is approximately equal to:
2.7183
2.1783
2.8173
2.1416
The value of π is approximately equal to:
3.4116
3.1416
3.1614
3.6416
The total area of the normal probability density function is equal to:
0.5
1
0.25
The skewness and kurtosis of the normal distribution are respectively:
Zero and zero
Zero and one
One and zero
One and one
The shape of the normal curve depends upon the value of:
Standard deviation
Q1
Mean deviation
Quartile deviation
The semi-inter quartile range for a standard normal random variable Z is:
0.6745
0.6745 σ
0.7979
0.7979 σ
The range of standard normal distribution is:
0 to n
0 to ∞
0 to k
-∞ to +∞
The range of normal distribution is:
0 to n
0 to ∞
-1 to +1
-∞ to +∞
The points of inflection of the standard normal distribution lie at:
-1 and 0
0 and 1
-1 and +1
μ and σ
The parameters of the normal distribution are:
μ and σ2
μ and σ
np and nq
n and p
The normal probability density function curve is symmetrical about the mean, μ, i.e. the area to the right of the mean is the same as the area to the left of the mean. This means that P(X<μ) =P(X>μ) is equal to:
1
0.5
0.25
The normal distribution is a proper probability distribution of a continuous random variable, the total area under the curve f(x) is:
Equal to one
Less than one
More than one
Between -1 and +1
The mean and standard deviation of the standard normal distribution a respectively:
0 and 1
1 and 0
μ and σ2
Ï€ and e
The maximum ordinate of a normal curve is at:
X = μ
X = μ + σ
X = μ - 2σ
X = σ2
The lower and upper quartiles for a standardized normal variate are respectively:
-0.6745σ and 0.6745σ
-0.6745 σ and 0.6745
0.7979σ and 0.7979σ
-0.7979 and 0.7979
The coefficient of skewness of a normal distribution is:
Positive
Negative
Zero
Three