Let Y1 Y2 Yn be independent and identically distributed

Let Y1, Y2, . . . , Yn be independent and identically distributed with the following probability density function f(y) = 4(1 - y) ^3, 0 < y < 1, f(y)= 0, otherwise

(a) Find the probability density function of Y(1) = min(Y1, . . . , Yn).

(b) Find the probability that Y(1) is less than 0.1.

(c) Find the expected value of Y(1). (Hint: beta distribution).

(d) Find the variance of Y(1). (Hint: beta distribution).

Solution

Balanced Chemical Equation for the reaction of anisole with acetic anhydride: (include minor product) include name, structural and condensed formula, and MM for each important speices

If data for the Exp. was anisole 0.55g aluminum chloride, 1.45g 4-methoxyacetophenone, 0.542g

find moles theoreitcal yield and percent yield? what do your results show?