If -LSB- math -RSB- X -LSB- / math -RSB- and -LSB- math -RSB- Y -LSB- / math -RSB- are two independent discrete random variables such that -LSB- math -RSB- X \ sim \ text -LCB- Bin -RCB- -LRB- n , p -RRB- -LSB- / math -RSB- and -LSB- math -RSB- Y \ sim \ text -LCB- Bin -RCB- -LRB- m , p -RRB- -LSB- / math -RSB- . How do I interpret -LSB- math -RSB- Z = X+Y \ sim \ text -LCB- Bin -RCB- -LRB- m + n , p -RRB- -LSB- / math -RSB- as the sum of two functions -LSB- math -RSB- X -LSB- / math -RSB- and -LSB- math -RSB- Y -LSB- / math -RSB- ?
Suppose that -LSB- math -RSB- X -LSB- / math -RSB- and -LSB- math -RSB- Y -LSB- / math -RSB- are discrete random variables . What is the meaning of -LSB- math -RSB- Z = Y+X -LSB- / math -RSB- , which is the sum of two random variables ?