Assume that Y is normally distributed $N \left( \mu , \sigma ^ { 2 } \right)$
Moving from the mean $( \mu )$ 1.96 standard deviations to the left and 1.96 standard deviations to the right, then the area under the normal p.d.f. is
A) 0.67
B) 0.05
C) 0.95
D) 0.33

Question

Assume that  Y  is normally distributed $N \left( \mu , \sigma ^ { 2 } \right)$
Moving from the mean $( \mu )$  1.96  standard deviations to the left and  1.96  standard deviations to the right, then the area under the normal p.d.f. is
A)  0.67 
B)  0.05 
C)  0.95 
D)  0.33

Quizplus · Accepted Answer

The area under the normal distribution curve within 1.96 standard deviations from the mean is approximately 95%.

Assume That Y Is Normally Distributed N(μ,σ2)N \left( \mu , \sigma ^ { 2 } \right)N(μ,σ2)

Assume That Y Is Normally Distributed $N \left( \mu , \sigma ^ { 2 } \right)$