Question

Connor is a statistics student interested in the number of games won by each team per season during the past 12 years for a certain professional baseball league. He records the total number of wins x for each team each season and the probability of each value P(x), as shown in the table provided. Use Excel to find the mean and the standard deviation of the probability distribution. Round the mean and standard deviation to three decimal places. Number of wins, x P(x) 54 0.003 55 0.009 56 0.015 57 0.012 58 0.006 59 0.018 60 0.024 61 0.036 62 0.027 63 0.045 64 0.036 65 0.045 66 0.039 67 0.054 68 0.051 69 0.060 70 0.054 71 0.071 72 0.059 73 0.045 74 0.042 75 0.030 76 0.033 77 0.036 78 0.027 79 0.024 80 0.021 81 0.018 82 0.012 83 0.015 84 0.015 85 0.009 86 0.006 87 0.003

Answer 1

The mean is 69.928 and

standard deviation is 6.965