victor misses the morning forecast with probability 0.2 on any day in the year. if he misses the forecast, victor will flip a fair coin to decide whether to carry an umbrella. (we assume that the result of the coin flip is independent from the forecast and the weather.) on any day he sees the forecast, if it says "rain" he will always carry an umbrella, and if it says "no rain" he will not carry an umbrella. let u be the event that "victor is carrying an umbrella", and let n be the event that the forecast is "no rain". are events u and n independent?