Posted by
Darth Vader on
Apr 24, 2013; 4:51am
URL: http://discussion-forum.276.s1.nabble.com/DSE-2012-Question-42-44-48-and-55-56-tp7580163.html
Ok, so a lot of confusion regarding how to go about all of these questions. Question 55-56 would require some context so I'll paste the link as well as the questions.
QUESTION 42. A fair coin is tossed until a head comes up for the 1st
time. The probability of this happening on an odd-numbered toss is
(a) 1/2
(b) 1/3
(c) 2/3
(d) 3/4
Answer: (c)
QUESTION 43. An experiment has 10 equally likely outcomes. Let A and
B be two non-empty events of the experiment. If A consists of 4 outcomes,
then the number of outcomes B must have so that A and B are independent,
is
(a) 4
(b) 3 or 9
(c) 6
(d) 5 or 10
Answer: (d)
QUESTION 44. Consider the system of equations
x + y = 0
x + y = 0
; ; and are i.i.d random variable. Each of them takes value 1 and 0
with equal probability.
Statement A: The probability that the system of equations has a unique
solution is 3/8.
Statement B: The probability that the system of equations has at least one
solution is 1.
(a) Both the statements are correct
(b) Both the statements are false
(c) Statement A is correct but B is false
(d) Statement B is correct but A is false
Q 48. A rectangle has its lower left hand corner at the origin and
its upper right hand corner on the graph of f(x) = x^2 + (1/x^2). For which x
is the area of the rectangle minimized?
(a) x= 0
(b) x = Infinity
(c) x = (1/3)^1/4
(d) x = 2^1/3
For 55 and 56:
http://economicsentrance.weebly.com/uploads/1/1/0/5/1105777/2012-option-a.pdf