Question 1

The number of dogs per household in a small town Dogs O 2 3 5 Probability 0.664 0.210 0.080 0.023 0.015 0.008 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution.Use the probability distribution to complete parts (a) and (b) below. The number of school-related extracurricular activities per student Activities 0 1 2 3 4 5 6 Probability 0.059 0.124 0.162 0.177 0.215 0.128 0.084 0.051 (a) Find the mean, variance, and standard deviation of the probability distribution.In the game of roulette, a player can place a $6 bet on the number 19 and have a 38 probability of winning. If the metal ball lands on 19, the player gets to keep the $6 paid to play the game and the player is awarded an additional $210. Otherwise, the player is awarded nothing and the casino takes the player's $6. 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. The expected value is $ (Round to the nearest cent as needed.)