Section 4.3 Learning Check|&lt;b&gt;Please use the following probability distribution function to answer questions 1-4&lt;/b&gt;&lt;br&gt; &lt;table width=&quot;75&KPHHASH37;&quot; border=&quot;2&quot; cellpadding=&quot;4&quot;&gt;   &lt;tr bgcolor=&quot;KPHHASH6633CC&quot; align=&quot;center&quot;&gt;      &lt;td align=&quot;center&quot;&gt;&lt;font color='white'&gt;        &lt;div align=&quot;center&quot;&gt;&lt;b&gt;Value of X&lt;/b&gt;&lt;/div&gt;       &lt;/font&gt;&lt;/td&gt;     &lt;td&gt;&lt;font color='white'&gt;        &lt;div align=&quot;center&quot;&gt;&lt;b&gt;Probability&lt;/b&gt;&lt;/div&gt;       &lt;/font&gt;&lt;/td&gt;   &lt;/tr&gt;   &lt;tr bgcolor=&quot;KPHHASHFFFFCC&quot;&gt;      &lt;td align=&quot;center&quot;&gt;        &lt;div align=&quot;center&quot;&gt;1&lt;/div&gt;     &lt;/td&gt;     &lt;td&gt;        &lt;div align=&quot;center&quot;&gt;0.50&lt;/div&gt;     &lt;/td&gt;   &lt;/tr&gt;   &lt;tr bgcolor=&quot;KPHHASHCCFF99&quot;&gt;      &lt;td align=&quot;center&quot;&gt;        &lt;div align=&quot;center&quot;&gt;2&lt;/div&gt;     &lt;/td&gt;     &lt;td&gt;        &lt;div align=&quot;center&quot;&gt;0.20&lt;/div&gt;     &lt;/td&gt;   &lt;/tr&gt;   &lt;tr bgcolor=&quot;KPHHASHFFFFCC&quot;&gt;      &lt;td align=&quot;center&quot;&gt;        &lt;div align=&quot;center&quot;&gt;3&lt;/div&gt;     &lt;/td&gt;     &lt;td&gt;        &lt;div align=&quot;center&quot;&gt;0.15&lt;/div&gt;     &lt;/td&gt;   &lt;/tr&gt;   &lt;tr bgcolor=&quot;KPHHASHCCFF99&quot;&gt;      &lt;td align=&quot;center&quot;&gt;        &lt;div align=&quot;center&quot;&gt;4&lt;/div&gt;     &lt;/td&gt;     &lt;td&gt;        &lt;div align=&quot;center&quot;&gt;0.10&lt;/div&gt;     &lt;/td&gt;   &lt;/tr&gt;   &lt;tr bgcolor=&quot;KPHHASHFFFFCC&quot;&gt;      &lt;td align=&quot;center&quot;&gt;        &lt;div align=&quot;center&quot;&gt;5&lt;/div&gt;     &lt;/td&gt;     &lt;td&gt;        &lt;div align=&quot;center&quot;&gt;0.05&lt;/div&gt;     &lt;/td&gt;   &lt;/tr&gt; &lt;/table&gt;|Please enter your Full Name:|Your Email Address:|Your ID Number or Password:|What is the P(X>1) # 0.1 %% 0.4 %% 0.5 %% 0.9 %%|What is the P(X<3) # 0.1 %% 0.5 %% 0.7 %% 1.0 %%|What is the probability that X is at least 2? # 0.2 %% 0.3 %% 0.4 %% 0.5 %%|What is the probability that X=2 given that X is greater than 1? # 0.2 %% 0.4 %% 0.5 %% 0.9 %%|The density curve for a continuous random variable X has which of the following properties? # The probability of any event is the area under the density curve and above the values of X that make up the event. %% The total area under the density curve for X must be exactly 1. %% The probability of any event of the form X=constant is 0. %% All of the above. %%