In the game of​ roulette, a player can place a $8 bet on the number 2 and have a 1/38 probability of winning. If the metal ball lands on 2​, the player gets to keep the $8 paid to play the game and the player is awarded an additional $280. Otherwise, the player is awarded nothing and the casino takes the​ player's ​$8. Find the expected value​ E(x) to the player for one play of the game. If x is the gain to a player in a game of​ chance, then​ E(x) is usually negative. This value gives the average amount per game the player can expect to lose

A person invests $1,000 into stock of a company that hopes to go public in one year. The probability that the person will lose all his money after one year (i.e. his stock will be worthless) is 35%. The probability that the person’s stock will still have a value of $1,000 after one year (i.e.no profit and no loss) is 60%. The probabilitythat the person’s stock will increase in value by $10,000 after one year (i.e. will be worth $11,000) is 5%. a) Create a probability model to find the expected profit after one year. b) Find the standard deviation (SD) = √?(?)

The probability of a grand piano selling for more than $58,600 is 0.2727. As these pianos sell across the country, what is the probability that the first piano that sells for more than $58,600 is the fourth piano?

In a certain year, the probability that a stock was in the Information Technology sector was 0.1302. The probability that the stock had a dividend yield of 2.00% or higher given that it was in the Information Technology sector was 0.2985. The probability that a stock had a dividend yield of 2.00% or higher given that it was not in the Information Technology sector was 0.4414. Find the probability that the stock was in the Information Technology sector given that it had a dividend yield of 2.00% or higher. ..... Let F be the event that a stock was in the Information Technology sector and E be the event that a stock had a dividend yield of 2.00% or higher. P(F) = .1302 and P (F') = .8698 The probability that the stock was in the Information Technology sector given that it had a dividend yield of 2.00% or higher is (Do not round until the final answer. Then round to four decimal places as needed.)