Section 4.4 Learning Check|<b> Please use the following probability distribution to answer question 1 & 4.</b><br> <table width="75&KPHHASH37;" border="2" cellpadding="4">   <tr bgcolor="KPHHASH6633CC" align="center">      <td align="center"><font color='white'>        <div align="center"><b>Value of X</b></div>       </font></td>     <td><font color='white'>        <div align="center"><b>Probability</b></div>       </font></td>   </tr>   <tr bgcolor="KPHHASHFFFFCC">      <td align="center">        <div align="center">0</div>     </td>     <td>        <div align="center">0.10</div>     </td>   </tr>   <tr bgcolor="KPHHASHCCFF99">      <td align="center">        <div align="center">1</div>     </td>     <td>        <div align="center">0.10</div>     </td>   </tr>   <tr bgcolor="KPHHASHFFFFCC">      <td align="center">        <div align="center">2</div>     </td>     <td>        <div align="center">0.10</div>     </td>   </tr>   <tr bgcolor="KPHHASHCCFF99">      <td align="center">        <div align="center">3</div>     </td>     <td>        <div align="center">0.10</div>     </td>   </tr>   <tr bgcolor="KPHHASHFFFFCC">      <td align="center">        <div align="center">4</div>     </td>     <td>        <div align="center">0.60</div>     </td>   </tr> </table>|Please enter your Full Name:|Your Email Address:|Your ID Number or Password:|Consider the probability distribution of X given above. Expected value of X is # 2.0 %% 2.5 %% 3.0 %% 4.0 %%|In a particular game, a fair die is tossed. If the number of spots showing is either 4 or 5 you win $1, if the number of spots showing is 6 you win $4, and if the number of spots showing is 1, 2, or 3 you win nothing. The expected amount that you win is # $0.00 %% $1.00 %% $2.50 %% $4.00 %%|The weight of medium sized tomatoes selected at random is a random variable with mean 10 ounces and standard deviation 1 ounce. Suppose we pick four tomatoes at random and put them in a bag. The weight of the bag is a random variable with a mean of  # 2.5 ounces. %% 4 ounces. %% 10 ounces. %% 40 ounces. %%|A small store keeps track of the number X of customers that make a purchase during the first hour that the store is open each day. Based on the records, X has the probability distribution given above. The standard deviation of X is # 1.4. %% 2.0. %% 3.0. %% 4.0. %%