A random point is picked uniformly inside the triangle on the plane with vertices (0, 0), (0, 2) and (4, 1). Let X be the x-coordinate of this random point. Find the cumulative distribution function F and density function f of X using the following two approaches. Examples 3.19 and 3.9 give guidance. (a) Find F from the connection between probability and area, and then differentiate to find f . (b) Find f with the infinitesimal method illustrated by Example 3.9, and then integrate to find F.

add the table and i will answer correctly

step-by-step explanation:

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

answer:   c ?

step-by-step explanation: