FPUS41 KBGM 202052 City Forecast for Penn Yan, NY Issued Saturday afternoon - Aug 20, 2011 .Saturday night... Low 63, 50% chance of precipitation. .Sunday... Thunderstorm, high 75, 90% chance of precipitation. .Sunday night... Low 56, 40% chance of precipitation. .Monday... Partly cloudy, high 74. .Monday night... Low 54.