An investment analyst collects data on stocks and notes whether or not dividends were paid and whether or not the stocks increased in price over a given period. Data are represented in the following table:

Price increase       No price increase     Total

Dividends paid      34                78                112

No Dividends paid      85                49                134

Total              119               127               246

i. If a stock is selected at random out of the analyst's list of 246 stocks, what is the probability that it increased in price?

ii. If a stock is selected at random, what is the probability that it paid dividends?

iii. If a stock is randomly selected, what is the probability that it both increased in price and paid dividends?

iv. What is the probability that a randomly selected stock neither paid dividends nor increased in price?

v.  What is the probability that a random selected stock is increase in price given that the dividends paid?