When show work please use correct presentation and include calculator syntax. For example: $()()2020,199,18\mathrm{.}5,9/400\mathrm{.}43381616210\mathrm{.}4338$ P X normalcdf e $>==$ or $()454845,,90\mathrm{.}00128987720\mathrm{.}00132\mathrm{.}310$ P X tcdf $<=$ $=$

The following frequency distribution summarize a sample$$s purchasing pattern for a particular product by age: Age Category Amount of product purchased $15-191120-242425-293030-341835-391140-44645-492$ Use calculator for a and b$.$ a$.$ Find the mean age: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$ b$.$ Find the standard deviation: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_.$ c$.$ Find mode: $\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_$