1. ASSIGNMENT 1: Binomial distribution (SUBMIT DATE: 11 0gos 2011)
QUESTION 1
8
3 1
a) For expansion 2 x , determine
4x
i. The first three terms (6 marks)
ii. Term which is free from x (6 marks)
iii. coefficient which is independent of x. (3 marks)
b) Using the binomial theorem, expand 1 3x in the ascending x up to and including x3.
8
Next, find the approximate value of (0.97) 8 correct to four decimal places.
(10 marks)
c) Find the approximate of (10 marks)
1
3
7 0.96
1.05 x
1.004
QUESTION 2
1 1 4
3 3
x y
a) Expand the function using the Binomial Theorem. (6marks)
24
1
12
x3
b) Find the coefficient of x in the expansion of x (6marks)
8
c) Write the first four terms in the binomial expansion of 1 x . Then calculate the
(1001) 8 - (0999) 8 correct to three decimal places. (7marks)