a) The area under the standard normal curve that lies to the left of -1.92 is 0.

Question

a) The area under the standard normal curve that lies to the left of -1.92 is 0.0274. Without using your TI calculator, determine the area under the standard normal curve that lies to the right of 1.92.
answer: _________

b) Which property of the standard normal curve allowed you to answer part a)?
A. The standard normal curve is symmetric about 0
B. Almost all the area under the standard normal curve lies between -3 and 3
C. The standard normal curve extends indefinitely in both directions
D. The total area under the curve is 1
E. None of the above

Explanation / Answer

given area under standerd normal curve that lies to left of -1.92 is 0.0274

A) we have to find area to the right of 1.92

if Z is that standerd normal random variable

then

area to the right of 1.92 is given by

   = 1-P(Z<1.92)

then from table

area =1-0.97257=0.02743 answer

B) the standerd normal curve is symmetric about zero(0)

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