<PRE><B>Question 1104705</B>
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I&#39;m going to use &lt;a href=&quot;http://www.stat.ufl.edu/~athienit/Tables/Ztable.pdf&quot;&gt;this table&lt;/a&gt; (a similar one should be found in the back of your textbook)


Using that table, we can find the following:
&lt;font color=blue&gt;P(Z &lt; -0.87) = 0.1922&lt;/font&gt; (see &lt;a href=&quot;https://i.imgur.com/ZEe0hrP.png&quot;&gt;this image&lt;/a&gt; to see how I got the value)
&lt;font color=green&gt;P(Z &lt; 2.21) = 0.9864&lt;/font&gt; (see &lt;a href=&quot;https://i.imgur.com/j2bGzEB.png&quot;&gt;this image&lt;/a&gt; to see how I got the value)


So,
P(a &lt; Z &lt; b) = P(Z &lt; b) - P(Z &lt; a)
P(-0.87 &lt; Z &lt; 2.21) = &lt;font color=green&gt;P(Z &lt; 2.21)&lt;/font&gt; - &lt;font color=blue&gt;P(Z &lt; -0.87)&lt;/font&gt;
P(-0.87 &lt; Z &lt; 2.21) = &lt;font color=green&gt;0.9864&lt;/font&gt; - &lt;font color=blue&gt;0.1922&lt;/font&gt;
P(-0.87 &lt; Z &lt; 2.21) = &lt;font color=red size=4&gt;0.7942&lt;/font&gt; (which is the final answer)
The values are approximate
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