1. A spinner is divided into 4 uneven sections and labelled 1, 2, 3, 4. It is 4 times more likely to land on a 3 than any other numbers. [3/2]
a) Create a table and a graph representing the probability distribution of the spinner.
b) Find the expected value of the spinner.

The life, in years, of a certain type of electrical switch has an exponential distribution with an average life b = 2. if 100 of these switches are installed in dif- ferent systems, what is the probability that at most 30 fail during the first year?

To the nearest tenth of an inch, find the length of side c, the hypotenuse

Question 3 (a) consider the data. 00 0 25 0.5 05 () construct the divaded difference's table for the data (u) construct the newton form of the polynomial of lowest degree that interpolates /() at these points (3) (ii) suppose that these data were generated by the function cos 2 ()=1+ 2 use the next term rule to approximate the error ip(z)- f() over the interval 0,0 5 your answer should be a pumber 3 (b) let f ((z) co+ clco, ci e r) set up the normal equations to find the least squares best fe f to approximate the data x y 2 y2 (c) find the constants a,b and c such that stz)(z-1+b(z-1)2+6(z-1)+1 cr +182-30+19- 1sz< 2 25z< 3 (9) s a natural cubic splhne [25] |turn over