Suppose that the weight of an newborn fawn is Uniformly distributed between 2.5 and 3.3 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible. please show step by step.

1. The mean of this distribution is ____________ .
2. The standard deviation is____________ .
3. The probability that fawn will weigh exactly 2.7 kg is P(x=2.7)=P(x=2.7)=_____________ .
4. The probability that a newborn fawn will be weigh between 2.7 kg and 3.1 kg is P(2.7
5. The probability that a newborn fawn will be weigh more than 2.96 kg is P(x>2.96)=P(x>2.96)= _____________.
6. P(x>2.8x<3.1)=P(x>2.8x<3.1)= ______________.
7. Find the 41st percentile._____________ kg