Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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Concept explainers

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.
Tree diagram
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 axi…
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…
Question

A group of 28 state representatives are on the states telecomminications committe; 15 of them are Republicans and 13 of them are Democrats. If a subcommittee of 8 members needs to be formed fromthe telecommunications committee, then:

A. How many different subcommittees can there be with 4 republicans and 4 democrats?

B. What is the probability that the subcommittee formed has 4 or 5 republicans in subcommittee?

C. What is the probabitity that the subcommittee formed has at most 3 democrats in the subcommittee?

D. What is the probability that the subcommittee formed has at least 2 republican in the subcommittee?

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