A random variable X is normally distributed with a mean of 2 and a standard deviation of 1.4.
Calculate the point c such that P ( X ≥ c ) = 0.5.
Solution:-
Given that,
mean = = 2
standard deviation = = 1.4
Using standard normal table,
P ( X ≥ c ) = 0.5
= 1 - P ( X < c ) = 0.5
= P ( X < c ) = 1 - 0.5
=P ( X < c ) = 0.5
= P(Z < 0 ) = 0.5
Using z-score formula,
x = z * +
x = 0 * 1.4+2
x = 2
answer =2
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