What is value of #X# such that #P(-X < Z < X)=0.95#?

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salamat Share
Jan 23, 2017

Answer:

#-2.575 < Z < 2.575#

Explanation:

#Total probability =1#

then,
#1-0.95=0.5#

divide by 2, #0.5/2 = 0.025#

From normal distribution table, we found that #P(Z < 0.025) =2.575#
Therefore
#P(-X < Z < X) =0.95#
#= P(-2.575 < X < 2.575)#

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