[NOTE: The assignment is to be done entirely BY HAND]
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1. The shelf life, in days, for bottles of a certain prescribed medicine is a random variable having the density function
a) Find the value of A.
b) Find the probability that a bottle of this medicine will have a shelf life of anywhere from 80 to 120 days.
c) Find the average shelf life.
2. Consider the logistic equation (section 9.5) which is an equation of the form
( constants). (1)
First separate the variables in Eq. (1) and then derive the solution
that satisfies the initial condition . If and are positive
constants, then . Hence then parameter in (1) is the limiting