91影视

It is given in the question that,

$z$is between $-2.05$and $0.78$

The below Standard Normal probabilities table is a table of areas under the standard Normal Curve. The table entry for each value $z$is the area under the curve to the left of $z$.

Shows the graph and table.

(a) A standard normal probability table shows the area to the left of$z=0.78$is $0.7823$and the area to the left of $z=-2.05$is $0.0202$.

Between $z=-2.05$and $z=0.78$there is a mass that is half of what is to the left of$0.78$minus the area to the left of $-2.05$.

Area between $z=-2.05\&z=0.78$ is:

$0.7823-0.0202=0.7621$

By the graphical representation , the result will be,

It is given in the question that,

z is between $-1.11$and $-0.32$

(b) A standard normal probability table shows that the area to the left of $z=-0.32$is $0.3745$and the area to the left of $z=-1.11$is $0.1335$.

Between $z=-1.11$and $z=-0.32$there is a mass that is half of what is to the left of $-0.32$minus the area to the left of $-1.11$.

Area between $z=-1.11\&z=-0.32$:

$0.3745-0.1335=0.2410$

By the graphical representation , the result will be,