Question

Carry your intermediate computations to at least four decimal places in round your answer to two decimal places

Answer 1

Standar normal distribution, given that:

$\begin{gathered} P(c\leq z\leq0.87)=0.7810 \\ P(0.87)-P(c)=0.7810 \\ P(c)=P(0.87)-0.7810 \end{gathered}$

We have to find the value for z=0.87

Using the z table:

P(0.87)=0.80785

Substituing:

$P(c)=0.80785-0.7810=0.02685$

P(c)=0.02685

Using the z table, we have to find the z-value for 0.02685.

P(c)=0.0268 approximately.

Using the z-table for nagative values:

P(-1.93)=0.0268.

Therefore, c=-1.93.