91影视

$z>鈭�1.66$

The formula used: Use the complement rule$P(notA)=1鈭�P\left(A\right)$

To find the equivalent probability, use the normal probability table in the appendix.

In the typical normal probability table for $P(z<鈭�1.66)$look at the row that starts with$-1.6$ and the column that starts with$.06$

Then

Use the complement rule,

$P(notA)=1鈭�P\left(A\right)$

For probability

$$\begin{gathered} P(z>鈭�1.66)P(z>鈭�1.66) \\ =1鈭�P(z<鈭�1.66) \\ =1鈭�0.0485 \\ =0.9515 \end{gathered}$$

Therefore,

Around $0.9515$ of the observations in a standard Normal distribution satisfy$z>鈭�1.66$

$鈭�1.66<z<2.85$

To find the equivalent probability, use the normal probability table in the appendix.

In the typical normal probability table for $P(z<鈭�1.66)$look at the row that starts with $-1.6$and the column that starts with$.06$

And

The usual normal probability table for $P(z<2.85)$has a row that starts with $2.8$and a column that starts with$.05$

Then

$$\begin{gathered} P(鈭�1.66<z<2.85) \\ =P(z<2.85)鈭�P(z<鈭�1.66) \\ =0.9978鈭�0.0485 \\ =0.9493 \end{gathered}$$

Therefore,

Around $0.9493$of the observations in a standard Normal distribution satisfy $鈭�1.66<z<2.85$