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)=

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: