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For a particular disease, the probability that a patient passes away within the x th year is given by the following table: xx P(x)P(x) 0

For a particular disease, the probability that a patient passes away within the xth year is given by the following table:

xx

P(x)P(x)

0 0.03
1 0.025
2 0.313
3 0.345
4 0.238
5 0.048
6 0.001

This means that the probability that someone passes away within the first year is 0.03. The probability that they pass away after one year would be 0.025.

What is the mean number of years someone survives? (round to two decimal places)

What is the standard deviation for the number of years someone survives? (round to two decimal places)

The Range Rule of Thumb for survival would be: __________ years to __________ years. (Round each to two decimal places.)

In your own words, interpret what the Range Rule of Thumb tells us about this disease.

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