3 Christa takes her dog for a walk every day. The probability that they go to the park on any day is 0.6 . If they go to the park there is a probability of 0.35 that the dog will bark. If they do not go to the park there is a probability of 0.75 that the dog will bark.

1. Find the probability that they go to the park on more than 5 of the next 7 days.
2. Find the probability that the dog barks on any particular day.
3. Find the variance of the number of times they go to the park in 30 days.