In: Statistics and Probability
Once an individual has been infected with a certain disease, let X represent the time (days) that elapses before the individual becomes infectious. The article “The Probability of Containment for Multitype Branching Process Models for Emerging Epidemics” (J. of Applied Probability, 2011: 173-188) proposes a Weibull distribution with alpha = 2.2, beta = 1.1, and gamma = 0.5
a. Calculate P(1 < X < 2).
b. Calculate P(X > 1.5).
c. What is the 90th percentile of the distribution?
d. What are the mean and standard deviation of X?
Please be very thorough in explaining steps as I am lost on this, especially on part d.