By Hall E. H.

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**Additional resources for A Possible Function of the Ions in the Electric Conductivity of Metals(en)(9s)**

**Example text**

The test is not perfect, but will detect a person with the disease 99% of the time. It will, however, say that a person without the disease has the disease about 3% of the time. A person is selected at random from the population, and the test indicates that this person has the disease. What are the conditional probabilities that (a) the person has the disease? (b) the person does not have the disease? Discuss. 03. 5-10. Suppose we want to investigate the percentage of abused children in a certain population.

A) List the 36 outcomes in the sample space for the roll of a pair of dice. Assume that each of them has a probability of 1/36. (b) Find the probability that the bettor wins on the first roll. That is, find the probability of rolling a 7 or 11, P(7 or 11). (c) Given that 8 is the outcome on the first roll, find the probability that the bettor now rolls the point 8 before rolling a 7 and thus wins. Note that at this stage in the game the only outcomes of interest are 7 and 8. Thus find P(8 | 7 or 8).

4-5 A rocket has a built-in redundant system. In this system, if component K1 fails, it is bypassed and component K2 is used. If component K2 fails, it is bypassed and component K3 is used. 15, and assume that the failures of these components are mutually independent events. Let Ai denote the event that component Ki fails for i = 1, 2, 3. 9966. One way to increase the reliability of such a system is to add more components (realizing that this also adds weight and takes up space). 9995. If A, B, and C are mutually independent events, then the following events are also independent: (a) A and (B ∩ C); (b) A and (B ∪ C); (c) A and (B ∩ C ).