Serap misses the morning forecast with probability 0.2 on any day in the year. if she misses the forecast, serap 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 she sees the forecast, if it says “rain" she will always carry an umbrella, and if it says “no rain" she will not carry an umbrella. let u be the event that “serap is carrying an umbrella", and let n be the event that the forecast is “no rain". are events u and n independent?