Consider a group of people who have received treatment for a disease such as cancer. let be the survival time, the number of years a person lives after receiving treatment. the density function giving the distribution of is =−(t)=ce−ct for some positive constant , and the cumulative distribution function is =∫((t)=∫0tp(x)dx. think carefully about what the practical meaning of (t) is, being sure that you can put it into words. (a) the survival function, (t), is the probability that a randomly selected person survives for at least years. find a formula for (t). =s(t)=

solution:

we have to construct

∠m nt ≅ ∠p qr

the steps to draw this construction are

step 1: use a compass to draw an arc from point q which intersects the side pq at point a and the side qr at point b.

step 2: draw a segment nt and use the same width of the compass to draw an arc from point n which intersects the segment nt at a point x.

step 3:

step 4: join points n and y using a straightedge.

step 3:

option (d).maintaining the same width of the compass as ab, draw an arc from point x such that it intersects the arc drawn from n in a point y.

to draw   congruent angles , 1. width of compasses while drawing two angles should be same i.e from point at which angle has to be drawn, 2.the distance between the two points where the compass intersects the two sides should be same while drawing any two congruent angles.

thus, the first answer choice, y = sec x, is the correct one