solve these probability problems

Find the cumulative distribution function of the random variable Win Exercise 3.8. Using A(w), find (@) P(W = 0); (b) P(-1 s W 3); (c) P(1.4 2).The total number of hours, measured in units of 100 hours, that a family runs a vacuum cleaner over a period of one year is a continuous random variable X that has the density function 0<: f o elsewhere. find the probability that over a period of one year family runs their vacuum cleaner less than hours between and hours.suppose certain type small data processing firm is so specialized some have difficulty making profit in first operation. density function characterizes proportion y make given by osys1 what value k renders above valid at most firms year. least year.based on extensive testing it determined manufacturer washing machine time years before major repair required characterized critics would certainly consider product bargain if unlikely to require sixth comment this determining> 6). (b) What is the probability that a major repair occurs in the first year