Question

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Using the TI-84 calculator, find the area under the standard normal curve that lies between the following --values. Round the answers to four decimal places. (a) Find the area under the standard normal curve that lies between := -2.04 and = = 0.91. (b) Find the area under the standard normal curve that lies between := -2.31 and == -2.13. (c) Find the area under the standard normal curve that lies between :=0.27 and = = 1.07 (d) Find the area under the standard normal curve that lies between S = -1.28 and == 1.36.

Answer 1

Solution :

For utilizing t1-84 mini-computer under typical distribution,follow the steps under :

1)Click 2ND

2)Click VARS[DCSTR]

Among the showed distribution on the screen

3)Choose 2 normal cdf

4)Click enter

On the screen is shown that as follows :

normalcdf(

Now,in request to calculate the area under the curve lies somewhere in the range of $Z_{1}$ and $Z_{2}$follows the underneath steps :

We realize that for standard normal distribution,

$\mu$ = Mean = 0

$\sigma$ = standard deviation = 1

Presently the area between in the range of Z1 and Z2 under normal curve =

P(Z <Z<Z2

P(Z <2<Z2) = normalcdf 21, 22, 41,0)