Consider the function f(x) = ke^{(-x^2)+3x+2}
a. Determine the value of k that makes f(x) a probability density function. (Hint:to find k, compare f(x) with the pdf of a normal distribution.)
b. Let X be a random variable whose pdf is f with the value of k as obtained
above. Find P(X > 2.3).
c. Find P(1.1 less than or equal to X < 1.7).
d. Find P(X less than or equal to 0.8)