Let X and Y denote the heart rate (in beats per minute) and average power output (in watts) for a 10 minute cycling time trial performed by a professional cyclist. Assume that X and Y have a bivariate...

Extracted text: Let X and Y denote the heart rate (in beats per minute) and average power output (in watts) for a 10 minute cycling time trial performed by a professional cyclist. Assume that X and Y have a bivariate normal distribution with parameters ux = 180, ox = 10, µy = 400, oy = 50, and p-0.9. Calculate P(Y >450|X=200). Provide a numerical answer only, if necessary round up to 3 digit number.