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Answer:
Step-by-step explanation:
The outcomes table is shown in the attached diagram. From the table, the total number of outcomes is 36.
i) the number of outcomes whose sum is 7 are 6 (1,6 2,5 3,4 4,3 5,2 6,1)
The probability that the sum of the two numbers that show up is 7 is
6/36 = 1/6
ii) the number of outcomes whose sum is even are 18
The probability that the sum of the two numbers that show up is even is
18/36 = 1/2
ii) the number of outcomes whose sum is greater than 9 is 6(4,6 5,5 6,4 5,6 6,5 6,6)
The probability that the sum of the two numbers that show up is greater than 9 is
6/36 = 1/6
3) this is a poisson distribution. We want to determine the mean.
Mean = np
p = 5/200 = 0.025
n = 600
Therefore,
Mean = 0.025 × 600 = 15 eggs
15 eggs are expected to be broken from a crate containing 600 eggs
