Math Answers

Write down the sample spaces for the following experiments:-
(i) A coin is tossed and at the same time a die is rolled.
(ii) The order in which a mouse, a frog, and a rabbit arrive at a lake is observed.

Verify that f(X)= x/ 8 can serve as the probability density function of a continuous random variable which can take on any value in the interval from 0 to 4.

Records show that the probability is 0.00006 that a car will have a flat tire while driving through a certain tunnel. Find the probability that at least 2 of 10,000 cars passing through this tunnel will have flat tires.

From the equation of the plane passing through (2, 3,-1) and perpendicular to the line joining the points (3,4,-1) and (2,-1,5).

From 7 men and 4 women a committee of 6 is to be formed. In how many ways can this be done
(i) when the committee contains exactly 2 women,
(ii) at least 2 women?

obtain all the first and second order PD of the fuction f(x,y)=(x^2)Siny+(y^2)cosx

show that function u(x,t)=(exp^-(mu)t)sin x is a solution of of one dimensional heat equation

1/4 x+3/8 y=-1
x+y=0

A company analyses its profits for four consecutive years, from 2007 to 2010. the profit made in 2007 was twice that in 2009. the profit made in 2008 was R14million more than the profit made in 2009, while the profit made in 2010 was R4 million less than the profit made in 2007. If the total made in these four years was R58million determine the profit made in each year.

Find the number of circular 3-permutations of 5 people.