In: Statistics and Probability
Suppose that the weight of an newborn fawn is Uniformly distributed between 2.5 and 3.2 kg. Suppose that a newborn fawn is randomly selected. Round answers to 4 decimal places when possible.
a. The mean of this distribution is
b. The standard deviation is
c. The probability that fawn will weigh exactly 3.1 kg is P(x = 3.1) =
d. The probability that a newborn fawn will be weigh between 2.7 and 3 is P(2.7 < x < 3) =
e. The probability that a newborn fawn will be weigh more than 2.74 is P(x > 2.74) = f. P(x > 2.6 | x < 3) =
g. Find the 50th percentile.