he data set below on the left represents the annual rate of return (in percent) of eight randomly sampled bond mutual funds, and the data set below on the right represents the annual rate of return (in percent) of eight randomly sampled stock mutual funds. Use the information in the table below to complete parts (a) through (d). Then complete part (e). What is the CV of the data set for bond mutual funds? (Type an integer or decimal rounded to three decimal places as needed) Bond mutual funds Stock mutual D What is the CV of the data set for stock mutual funds? funds 3.1 1.7 9.3 7.5 1.8 3.3 9.0 7.3 (Type an integer or decimal rounded to three decimal places as needed) 2.3 2.6 8.3 7.1 Based on the coefficient of variation have more spread 1.5 1.9 8.0 6.8 (e) In the table below, the data set on on the right has the same students' he and the standard deviation. Draw a c coefficient of variation for both data si dents measured in inches, while the data set ars. For each data set determine the mean sing the standard deviation, then find the bond mutual funds stock mutual funds Height in inches 73 Height in centimeters 172.72 185 42 180.34 182 88 68 71 72 71 74 180 34 187.96
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.
To find the coefficient of variation it is required to find the mean and standard deviation first. To find the sample mean and sample standard deviation use formula and , respectively.
Or use formula AVERAGE and STDEV.S in Excel to find the sample mean and sample standard deviation, respectively. Using these formulas, the sample mean and sample standard deviation of bond is , respectively.
Similarly sample mean and sample standard deviation of stock is , respectively.
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