Unformatted text preview: The square is 3.5 inches by 3.5 inches, resulting in 12.25 square inches of space in which the coins can fall in and be considered a “success.” Therefore, we anticipate that 11.34% of the coins will fall in the area [(12.25/108)*100%]. Of the twenty coin trial, the expected value is therefore 2.27 coins per trial landing in the square [0.1134*20]. H) The probability distribution was calculated using the theory above and the binomial probability distribution formula in which: X = number of coins in square N = 20 (number of trials) P = (12.25 in^2/108 in^2) = 0.1134 Q = (1-0.1134) = 0.8866 (N!)/(X!*(N-X)!)*((P)^X)*((Q)^(N-X)) I) The plot of the expected probability distribution follows the expected binomial probability distribution....
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- Fall '10
- Probability theory, 3.5 inches, 12 inches, 9 inches, 11.34%