1. The average cost to enter a dog in the Westminster Dog Show is $3,000 with a standard deviation of $500. The costs to enter are presumed to be normally distributed. If 200 dog owners spent more than $4,440 to enter their dogs in the Westminster Dog Show, in total, how many dogs were entered in the show?
2. A study was conducted to determine how often bulldogs have litters that contain more male than female puppies. It was determined that 59% of the time litters contain more males than females. Using the normal approximation to the binomial, what is the probability that out of a sample of 70 bulldog litters, fewer than 35 litters have more males than female puppies?
3. The number of dogs that visit a local dog park daily is normally distributed. The mean number of dogs visiting per day is 50 with a standard deviation of 10 days. If a random sample of 64 days is taken, what is the probability that the sample mean will be less than 47 days?
4. You are told that 16.6% of dog breeders have more than 2 years of experience breeding bulldogs, and 6.68% of breeders have less than 9 month of experience breeding bulldogs. If this data assumes normal distribution, what is the value of the mean and standard deviation of this distribution?