I need your help to understand this homework.
A weather station recorded every 10 minutes the temperature. X is the minimum and Y the maximum temperature in a day. between the 1st and 30th April the values of X are in [0,15] and the Y are in [10,30] 1) draw the sample space and the following contingencies A={temperature during the day does not exceed 25 degrees} B={maximum temperature of the day is at least twice the minimum} C={the difference in maximum & minimum temperatures of day does not exceed 5 degrees} 3) Are the contingents A and C independent?
My basic problem is that i can’t understand who is the sample space and the A, B and C, i am very confused. At first i think that the sample space is Ω={0≤x≤15, 10≤y≤30} and A={y≤25}, B={y≥2x}, C={(y-x)≤5} but I am sure that isn’t right.