Deprecated: Methods with the same name as their class will not be constructors in a future version of PHP; plgContentJComments has a deprecated constructor in /var/www/astarmathsandphysics/plugins/content/jcomments/jcomments.php on line 25 Call Stack: 0.0001 362872 1. {main}() /var/www/astarmathsandphysics/index.php:0 0.0447 1213912 2. Joomla\CMS\Application\SiteApplication->execute() /var/www/astarmathsandphysics/index.php:49 0.0447 1213912 3. Joomla\CMS\Application\SiteApplication->doExecute() /var/www/astarmathsandphysics/libraries/src/Application/CMSApplication.php:267 0.1110 4047376 4. Joomla\CMS\Application\SiteApplication->dispatch() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:233 0.1122 4075136 5. Joomla\CMS\Component\ComponentHelper::renderComponent() /var/www/astarmathsandphysics/libraries/src/Application/SiteApplication.php:194 0.1129 4092848 6. Joomla\CMS\Component\ComponentHelper::executeComponent() /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:356 0.1129 4109856 7. require_once('/var/www/astarmathsandphysics/components/com_content/content.php') /var/www/astarmathsandphysics/libraries/src/Component/ComponentHelper.php:381 0.1137 4117592 8. ContentController->execute() /var/www/astarmathsandphysics/components/com_content/content.php:42 0.1137 4117592 9. ContentController->display() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:710 0.1612 4752872 10. ContentController->display() /var/www/astarmathsandphysics/components/com_content/controller.php:113 0.1635 4838104 11. Joomla\CMS\Cache\Controller\ViewController->get() /var/www/astarmathsandphysics/libraries/src/MVC/Controller/BaseController.php:663 0.1640 4859032 12. ContentViewArticle->display() /var/www/astarmathsandphysics/libraries/src/Cache/Controller/ViewController.php:102 0.1745 5023152 13. Joomla\CMS\Plugin\PluginHelper::importPlugin() /var/www/astarmathsandphysics/components/com_content/views/article/view.html.php:189 0.1745 5023408 14. Joomla\CMS\Plugin\PluginHelper::import() /var/www/astarmathsandphysics/libraries/src/Plugin/PluginHelper.php:182

Continuous Probability Distributions

If a random variablehas a continuous probability distribution, thenmay take any value in an interval. The end points of the interval may be included or not. Ifdenotes possible values of the random variablethen

means 'may take values greater thanbut less than'

means 'may take values greater than or equal tobut less than'

means 'can take any real value'

Whatever the interval, all probability distributions have in common that they all integrate to one over the set of values that x may take. We can use this in problem solving.

Suppose it is known that a random valiabletakes a Triangular distribution:

We can findby solving the equation

Then

The graph ofis sketched below. The hollow circle atindicates thatis not a possible value for

Add comment

Security code
Refresh