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The Class 2 group for the next Boy's and Girl's Championships female 100m dash has 56 females registered. The average running time of the group

The Class 2 group for the next Boy's and Girl's Championships female 100m dash has 56 females registered. The average running time of the group is 23 seconds with a variance of 169 seconds. If a random sample of 32 males are taken from the group what is the probability that the sample average running time will be greater than 18 seconds?

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