The following config file worked perfectly fine for me for hosting the WCF under HTTPs and certificates:

Code Snippet

31. <system.serviceModel>
32.   <services>
33.     <service name="WCF.IIS.Deployment.ServiceApplication.MathService" behaviorConfiguration="MathServiceBehaviour">
34.       
35.       <endpoint address="" binding="basicHttpBinding" bindingConfiguration="SecurityByTransport" contract="WCF.IIS.Deployment.ServiceApplication.IMathService">
36.       </endpoint>
37.  
38.       <endpoint address="mex" binding="mexHttpsBinding" contract="IMetadataExchange" />
39.       
40.       <host>
41.         <baseAddresses>
42.           <add baseAddress="https://localhost/WCF.IIS.Deployment.Services/" />
43.         </baseAddresses>
44.       </host>
45.  
46.     </service>
47.  
48.   </services>
49.  
50.   <bindings>
51.     <basicHttpBinding>
52.       <binding name="SecurityByTransport">
53.         <security mode="Transport">
54.           <transport clientCredentialType="None" />
55.         </security>
56.       </binding>
57.     </basicHttpBinding>
58.   </bindings>
59.   
60.   <behaviors>
61.     <serviceBehaviors>
62.       <behavior name="MathServiceBehaviour">
63.         <serviceMetadata httpsGetEnabled="true" />
64.         <serviceDebug includeExceptionDetailInFaults="false" />
65.       </behavior>
66.     </serviceBehaviors>
67.   </behaviors>
68. </system.serviceModel>