# Application of Chebyshev Inequality

1. In an exam, the mean score is 70 and the variance is 16. What is the probability that a

student's score will lie within the "54 to 86" range? (Hint: Use Chebyshev's inequality, as we

saw in class). What percentage of students will lie within 2 standard deviations on either side

of the mean score?

2. You are the CEO of a company that sells a product and your sales advisor tells you that the

anticipated consumer demand for your product during next year follows a Normal distribution

with mean 1,200 units and standard deviation 100 units.

a) What is the probability that sales will exceed 1,000 units?

b) What is the probability that sales will be between 1,100 and 1,300 units?

c) The probability is 10% that sales will be more than how many units?

https://brainmass.com/statistics/probability/application-of-chebyshev-inequality-119286

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Statistics, All Topics

Year 2

need explanations

1. In an exam, the mean score is 70 and the variance is 16. What is the probability that a

student's score will lie within the "54 to 86" range? (Hint: Use Chebyshev's inequality, as we saw in class). What percentage of students will lie within 2 standard deviations on either side of the mean score?

Answer

The Chebychevs ...

#### Solution Summary

The solution contain calculation of probability based on normal distribution, Z-Score and Chebyshev Inequality. Step by Step procedures are given with interpretations.