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Example 67

 

Example 67:   The following table gives the probability that x patients out of four will survive five years after receiving a diagnosis of early-stage lung cancer.   Calculate the expected value for the random variable x, calculate the standard deviation, and use Chebyshev’s rule to produce an interval which will capture at least 75% of the x values.

X

0

1

2

3

4

P(x)

0.049

0.220

0.372

0.280

0.079

 

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