Question

Let Z be a standard normal random variable. Use the calculator provided, or this table, to determine the value of .

P (1.18 _< Z _< c) = 0.0854

Carry your intermediate computations to at least four decimal places. Round your answer to two decimal places.

Answer 1

Solution,

Using standard normal table,  

P( 1.18 Z c) = 0.0854

= P( Z c) - P( Z 1.18) = 0.0854

= P( Z c) - 0.8810 = 0.0854

= P( Z c) = 0.8810 + 0.0854

= P( Z c) = 0.9664

= P( Z 1.83) = 0.9664

c = 1.83

P( 1.18 Z 1.83) = 0.0854