You are given the following information about a random sample of claim amounts: - Claim severity follows a Pareto distribution with α=3 and θ=50, with mean and variance given by mean = θ/α−1, variance = 2θ²/(α−2)(α−1)-(θ/α−1)² - The sample size is 100. Using the Central Limit Theorem, calculate the probability that the sample mean claim amount will lie between 30 and 35.
a. Less than 5%
b. At least 5%,
c. but less than 6%
d. At least 6%,
e. but less than 7%
f. At least 7%,
g. but less than 8%
h. At least 8\%