Assume that x has a normal distribution with the specified m

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) = 5.6; = 1.6

P(7 x 9) =

Solution

Assume that x has a normal distribution with the specified mean and standard deviation. Find the indicated probability. (Round your answer to four decimal places.) = 5.6; = 1.6

P(7 x 9) =

Z value for 7, z =(7-5.6)/1.6=0.88

Z value for 9, z =(9-5.6)/1.6=2.13

P(7 < X1 < 9) =P( 0.88<z<2.13)

=P(z < 2.13) –P(z < 0.88)

= 0.9834 – 0.8106

= 0.1728

Note:( if we not rounding z values to 2 decimals, the P=0.1740)