Consider an experiment in which a fair four-sided die (with faces labeled 0, 1, 2, 3) is thrown once to determine how many times a fair coin is to be flipped. in the sample space of this experiment, random variables n and k are defined by • n = the result of the die roll • k = the total number of heads resulting from the coin flips determine and sketch each of the following functions for all values of their arguments:
(a) pn (n)
(b) pk|n (k | 2)
(c) pn|k(n | 2)
(d) pk(k)
(e) also determine the conditional pmf for random variable n, given that the experimental value of k is an odd number.
(f) finally, compute the expected value and variance for each of the distributions found in parts (a)–(e).

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc

answer:

1.14285714286

step-by-step explanation:

divide 40 into 35 and you will get your answer