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?