Suppose you are playing a game. The random variable, Y, represents your net profit in dollars. The probability distribution of Y is as follows. (Round your answers to 4 decimal places, if needed.) y -3 -2 0 3 5 P(Y = y) 0.2 0.22 ? 0.22 0.1 (a) What is the mean for net profit? (b) What is the median for net profit? (c) What is the standard deviation for net profit?

Complete parts (a) and (b) below. The number of dogs per household in a small town 2 4 Dogs Probability 0.674 0.206 0.079 0.022 0.013 0.007 (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.) Find the variance of the probability distribution. o = (Round to one decimal place as needed.) Find the standard deviation of the probability distribution. (Round to one decimal place as needed.) (b) Interpret the results in the context of the real-life situation. O A. A household on average has 0.5 dog with a standard deviation of 15 dogs. OB. A household on average has 0.5 dog with a standard deviation of 0.9 dog. O C. A household on average has 0.8 dog with a standard deviation of 0.9 dog. O D. A household on average has 0.9 dog with a standard deviation of 0.5 dog. esc E1 000 F2

Suppose you are playing a game. The random variable, Y, represents your net profit in dollars. The probability distribution of Yis as follows. (Round your answers to 4 decimal places, if needed.) y -3 -2 3 PY= y) 0.15 0.22 ? 0.22 0.15 (a) What is the mean for net profit?

An automotive center keeps track of customer complaints received each week.  The probability distributions of complaints are shown below.  The random variable, xi, represents the number of complaints, and p(xi) is the probability of receiving xi complaints for two of the stores. The cost impact of each complaint is believed to be y=$10x3 where x is the number of complaints. Store A xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.20 0.25 0.15 0.10 0.05     Store B             xi 0 1 2 3 4 5 6 p(xi) 0.10 0.15 0.25 0.22 0.13 0.08 0.07   Compute the simulated averages and standard deviations of the number of complaints per week for each store and the total for both stores over the 52 weeks. Compare to the theoretical mean and standard deviations.