Define sample space and experiment

Define probabilities

Define random variable and distribution function

\(S=\{a_1,a_2,a_3,a_4, a_5\}\)

\(S=\{a_1,a_2,a_3,a_4, a_5\}\)

\(S=\{a_1,a_2,a_3,a_4, a_5\}\)

\(S=\{a_1,a_2,a_3,a_4, a_5\}\)

Suppose we want to understand the efficacy of a test for a certain disease. Consider the following table:

Disease | Presence | Total | ||
---|---|---|---|---|

Yes | No | |||

Test Result | Yes | 42 | 6 | |

No | 17 | 35 | ||

100 | ||||

Find the probability that an individual has a disease

Find the probability that an individual tests negative for a disease

Find the probability that and tests positive for a disease or they donâ€™t have the disease

Find the probability that the test gives an accurate result

Find the probability that the test gives and inaccurate result