Solution :
Given that ,
mean =
= 0
standard deviation =
= 0.75
a) P(-4.02 < x < 3.82) = P[(-4.02 - 0)/ 0.75) < (x -
) /
<
(3.82 - 0) / 0.75) ]
= P(-5.36 < z < 5.09)
= P(z < 5.09) - P(z < -5.36)
Using z table,
= 1 - 0
= 1
b) P(x > 4.11) = 1 - p( x< 4.11)
=1- p P[(x - ) /
< (4.11 - 0) / 0.75]
=1- P(z < 5.48)
= 1 - 1
= 0
6. X is a normally distributed random variable with mean 0 and standard deviation 0.75. Find...
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