Suppose that x and y are independent geometric random variables with the same parameter p.
(a) without any computations, what do you think is the value of p{x = i|x + y = n}? hint: imagine that you continually flip a coin hav- ing probability p of coming up heads. if the second head occurs on the nth flip, what is the probability mass function of the time of the first head?
(b) verify your conjecture in part (a).

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation:

answer: cos [   arcsin (3/5) - arccos (1/2) ] =

step-by-step explanation: × = 3/5 = 0.6--> x = 36.87 and x = 180 - 36.87 = 143.13 deg

cos y = 1/2 --> y = +- 60 deg a. cos (x - y) = cos (143.13 - 60) = cos 83,13  

=

0.12

b. cos (36.87 - 60) = cos (-23.23) = 0.92

answer: correct

step-by-step explanation: