Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 0 2 3 4 5 Probability 0.686 0.198 0.076 0.019 0.014 0.006 (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. (Round to one decimal place as needed.)Use the probability distribution to complete parts (a) and (b) below. The number of defects per 1000 machine parts inspected Defects 0 2 3 5 Probability 0.261 0.291 0.246 0.144 0.045 0.013 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed. )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 7 Probability 0.057 0.121 0.164 0.177 0.222 0.126 0.082 0.051 (a) Find the mean, variance, and standard deviation of the probability distribution. The mean is (Round to one decimal place as needed.)1 In the game of roulette, a player earl place a $8 bet on the number 28 and have a E probability of winning. It the metal ball lands on 23, the player gets to keep the 38 paid to playr the game and the player is awarded an additional $230. 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. The expected vdue is $:|. [Round to the nearest sent as needed.)