An insurance company sells homeowner's insurance to compensate homeowners in case of damage to their home. Suppose we assume that the probability distribution of x = insurance company's payout on all policies is severely right-skewed with a mean of $4,750 and a standard deviation of $18,839.7850.

1.Consider a random sample of 2,500 homeowners who own this policy. Find the mean and standard deviation of the average insurance payout on these 2,500 policies.

2. For the sampling scenario with 2,500 homeowners, find the probability that the average payout exceeds $6,000. (5 decimal places)

3.Suppose you randomly selected 2,500 homeowners with this policy and found that the average payout was $7,000. What would you conclude?