Institute of Chartered Financial Analysts of India (ICFAI) University 2003 B.Sc Mathematics semestar - Question Paper
Monday, 17 June 2013 10:20Web
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In a test, an examinee either guesses or copies or knows the ans to a multiple option ques.
with 4 options. The probability that he makes a guess is 1/3 and the probability that he copies
the ans is 1/6. The probability that his ans is accurate provided that he copied it is 1/8. obtain
the probability that he knows the ans to the question, provided that he correctly answered it.
SECTION-C
24. obtain the local maxima and local minima of sin4x + cos4x, 0
Show that the semi vertical angle of right circular cone of provided surface area and maximum
25. Solve the initial value issue :
(x + y)dy + (x – y)dx = 0 , y = one when x = 1.
26. Sketch the graph of the region
{(x,y) :0=y=x2+3 ;0=y=2x+3 ; 0=x=3}
Also obtain the area of the region using integration.
27. Let the number of times a candidate applies for a job be X and P(X=x)denotes the probability
that he will be opted x times. provided that
(k+1)x ,if x = 0
P(X=x) = 2kx ,if x=1 or 2
k(6-x),if x = three or four or five
where k is a +ve real number.
(a) obtain the value of k.
(b) What is the probability that he will be opted exactly 3 times.
(c) What is the probability that he will be opted atleast once.
(d) Find the mean and variance of the probability distribution of X.
OR
In a hostel 60% of the students learn Hindi newspaper, 10% learn English newsprint and 20%
learn both. A learner is opted at random..
(a) Find the probability that she reads neither Hindi nor English newsprints.
(b) If she reads Hindi newspaper, obtain the probability that she reads English newsprint.
(c) If she reads English newspaper, obtain the probability that she reads Hindi newsprint.
28. obtain the vector formula of the line passing through the point (1,2,-4) and perpendicular
to the 2 lines
29. A diet for a sick person must contain atleast 4000 units of vitamins, 50 units of minerals
and 1400 units of calories. 2 foods A and B are available at a cost of Rs4 and Rs3
per unit, respectively. If 1 unit of A contains 200 units of vitamin, one unit of mineral and
| Earning: Approval pending. |
