Consider the cross: A/a; b/b; C/c; D/d; E/e x A/a; B/b; c/c;
D/d; e/e
a) what proportion of the progeny will phenotypically resemble
the first parent?
b) what proportion of the progeny will genotypically resemble
neither parent?
consider the function f(x) = 1 +
x3 e-.3x
a. what is f'(x)
b. what is f''(x)
c. what are the critical points of f(x)
d. are the critical points a local min or local max or
neither?
e. find the inflection points
f. if we define f(x) to have the domain of [2,50] compute the
global extreme of f(x) on that interval
Consider the region bounded between y = 3 + 2x - x^2 and y = e^x
+ 2 . Include a sketch of the region (labeling key points) and use
it to set up an integral that will give you the volume of the solid
of revolution that is obtained by revolving the shaded region
around the x-axis, using the... (a) Washer Method (b) Shell Method
(c) Choose the integral that would be simplest to integrate by hand
and integrate...
Consider the function f(x)=A(1+x/3) for –1 < x < 1.
Find the value of A that makes this function a pdf.
Find the probability that X<1/2.
Find the cdf of X.
Use the cdf to find the probability that X > -1/2.
Let be the following probability density function f (x) = (1/3)[
e ^ {- x / 3}] for 0 <x <1 and f (x) = 0 in any other
case
a) Determine the cumulative probability distribution F (X)
b) Determine the probability for P (0 <X <0.5)