The following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown. %Working 67 45 73 54 61 % Management 49 21 65 47 33 a. Develop a scatter diagram for these data with the percentage of women working in the company as the independent variable.b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?c. Try to approximate the relationship between the percentage of women working in the company and the percentage of management jobs held by women in that company.d. Develop the estimated regression equation by computing the values of b0 and b1.e. Predict the percentage of management jobs held by women in a company that has 60% women employees.
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 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 following data give the percentage of women working in five companies in the retail and trade industry. The percentage of management jobs held by women in each company is also shown.
| %Working | 67 | 45 | 73 | 54 | 61 |
| % Management | 49 | 21 | 65 | 47 | 33 |
a. Develop a
b. What does the scatter diagram developed in part (a) indicate about the relationship between the two variables?
c. Try to approximate the relationship between the percentage of women working in the company and the percentage of management jobs held by women in that company.
d. Develop the estimated regression equation by computing the values of b0 and b1.
e. Predict the percentage of management jobs held by women in a company that has 60% women employees.
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