The Chartered Financial Analyst (CFA) institute reported that 51% of its U. S. members indicate that lack of ethical culture within financial firms has contributed the most to the lack of trust in the financial industry. (Source: Data extracted from Global Market Sentiment Survey 2013,cfa.is/YqVCKB.) Suppose that you select a sample of 100 CFA members. What is the probability that the sample percentage indicating that lack of ethical culture within financial firms has contributed the most to the lack of trust in the financial industry will be between 50% and 55%? The probability is 90% that the sample percentage will be contained within what symmetrical limits of the population percentage? The probability is 95% that the sample percentage will be contained within what symmetrical limits of the population percentage? Suppose you selected a sample of 400 CFA members. How does this change your answers in (a) through (c)?
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.
The Chartered Financial Analyst (CFA) institute reported that 51% of its U. S. members indicate that lack of ethical culture within financial firms has contributed the most to the lack of trust in the financial industry.
(Source: Data extracted from Global Market Sentiment Survey 2013,cfa.is/YqVCKB.)
Suppose that you select a sample of 100 CFA members.
- What is the probability that the sample percentage indicating that lack of ethical culture within financial firms has contributed the most to the lack of trust in the financial industry will be between 50% and 55%?
- The probability is 90% that the sample percentage will be contained within what symmetrical limits of the population percentage?
- The probability is 95% that the sample percentage will be contained within what symmetrical limits of the population percentage?
- Suppose you selected a sample of 400 CFA members. How does this change your answers in (a) through (c)?
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