Have you ever tried to get out of jury duty? About 23% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty. (a) If 12 people are called for jury duty, what is the probability that all 12 will be available to serve on the jury? (Round your answer to three decimal places.) (b) If 12 people are called for jury duty, what is the probability that 6 or more will not be available to serve on the jury? (Round you
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Have you ever tried to get out of jury duty? About 23% of those called will find an excuse (work, poor health, travel out of town, etc.) to avoid jury duty.
(b) If 12 people are called for jury duty, what is the probability that 6 or more will not be available to serve on the jury? (Round your answer to three decimal places.)
(c) Find the expected number of those available to serve on the jury. What is the standard deviation? (Round your answers to two decimal places.)
| ? = __people |
| ? = __people |
(d) What is the smallest number of people n that the jury commissioner contact to be at least 95.9% sure of finding at least 12 people who are available to serve? (Enter your answer as a whole number.)
____ people
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