20 In a long jump competition, the distances achieved by a particular age group can be modelled by a normal distribution with mean 5.2m and variance 0.6 m. a In a group of 30 competitors from this age group, how many would you expect to jump further than 6m? b In a large competition, the top 5% of participants will qualify for the next round. Estimate the qualifying distance.
20 In a long jump competition, the distances achieved by a particular age group can be modelled by a normal distribution with mean 5.2m and variance 0.6 m. a In a group of 30 competitors from this age group, how many would you expect to jump further than 6m? b In a large competition, the top 5% of participants will qualify for the next round. Estimate the qualifying distance.
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Rate of Change
The relation between two quantities which displays how much greater one quantity is than another is called ratio.
Slope
The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:
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![20 In a long jump competition, the distances achieved by a particular age group can be modelled by a normal
distribution with mean 5.2m and variance 0.6 m.
a In a group of 30 competitors from this age group, how many would you expect to jump further than 6m?
b In a large competition, the top 59% of participants will qualify for the next round. Estimate the qualifying
distance.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3b09d44f-1bc3-424e-81f2-820ff83653c9%2Fb3d24df8-7ac6-481e-b65c-fa6469f77969%2Fs7o8osl_processed.jpeg&w=3840&q=75)
Transcribed Image Text:20 In a long jump competition, the distances achieved by a particular age group can be modelled by a normal
distribution with mean 5.2m and variance 0.6 m.
a In a group of 30 competitors from this age group, how many would you expect to jump further than 6m?
b In a large competition, the top 59% of participants will qualify for the next round. Estimate the qualifying
distance.
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