**This is timed. Answer correctly and don't take longer than 60 min to answer. Thanks**

Complete parts (a) and (b) below. The number of dogs per household in a small town Dogs 0 1 2 3 4 5 Probability 0.663 0.210 0.084 0.025 0.013 0.006 (I) (a) Find the mean, variance, and standard deviation of the probability distribution. Find the mean of the probability distribution. p = D (Round to one decimal place as needed.) Find the variance of the probability distribution. 02 = D (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. 6 = D (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. A household on average has 0.8 dog with a standard deviation of 0.9 dog. A household on average has 0.9 dog with a standard deviation of 0.5 dog. A household on average has 0.5 dog with a standard deviation of 0.9 dog. PPS\"? A household on average has 0.5 dog with a standard deviation of 12 dogs