On any day, the amount of time, measured in hours, that Mr Goggle spends watching television is a continuous random variable T, with cumulative distribution function given by 140 F()-1-k(15-1) 0 < <15 where k is a constant. 115

(a) Show that k- and find P(5 14. An ironmonger is supplied with paraffin once a week. The weekly demand, X hundred litres, has the probability density function

f, where f(x)=c(1-x)? f(x)-0 0