Give the full process to answer the below questions:

1.	The probability that automobiles sales will increase next month is 0.50. The probability that sale of parts will increase next month is 0.40. The probability that both the industries will experience an increase in sales is estimated to be 0.20 i) If the replacement part sales have increased, find the probability that automobiles sales will also increase during the month. ii) find the probability that neither sales have increased during the month ?
2.	From 60 lottery tickets a person selects 12 tickets .In each of these tickets chosen his chance of not winning a prize is 92% i) Find the probability of winning a prize atmost two times. ii) How many tickets he has to purchase so that his probability of winning atleast once is atleast 75%
3	The burning life( in hours ) of electric lamps installed in a street of a city follows a normal distribution with an average of 125 burning hours and variance of 54000 minutes., Find the probability of the electric lamps that are likely to burn for i) more than 115 hours ii) more than 5140 minutes and less than 7450 minutes

4 0 ; X 4 i) Find k if f(x) is a probability density function . ii) Find P (2.5 S x s 4.5) iii) Find P (x=3)