The rules of probability, Which of the following models

The rules of probability

Reference no: EM137695

1. Two coins are tossed and the total number of heads is counted. Which of the following would be a legitimate probability model for the total number of heads? That is, which of the following models satisfies the rules of probability?

A. 777_the rules of probability.gif

B. 2443_the rules of probability2.gif

C. 1748_the rules of probability3.gif

2. A system has two components that operate in parallel, as shown in the diagram below. Since the components operate in parallel, at least one of the components must function properly if the system is to function properly. The probabilities of failure for components 1 and 2 during one period of operation are 0.20 and 0.03, respectively. Let F denote the event that component 1 fails during one period of operation and G denote the event that component 2 fails during one period of operation. The component failures are independent.

1804_the rules of probability1.gif

The event corresponding to the above system functioning properly during one period of operation is
A. F or G.
B. FC or GC.
C. FC and GC.

Reference no: EM137695

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