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# 1. Horse race time is found to be normally distributed with

1. Horse race time is found to be normally distributed with a mean value of 18 minutes and a standard deviation of 4 minutes. Horses whose race time is in the top 6% will not be eligible to participate in a second round. What is the lowers race time that makes a horse losses his eligibility to participate in a second round

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The z- score such that 6% of the area under the normal curve lies above it is

z = 1.5548

μ = 18 and σ = 4

x = μ + z * σ

x = 18 + 1.5548 * 4 = 24.22

The lowest race time that makes a horse loss his eligibility to participate in a

second round is 24.22 minutes

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