The personnel department of Franklin National Life Insurance compiled the accompanying data regarding the income and education of its employees. Income $60K or Below Income above $60K Noncollege Graduate 1980 830 College Graduate 410 780 Let A be the event that a randomly chosen employee has a college degree, and let B be the event that the chosen employee's income is more than $60,000. (a) Find each of the following probabilities. (Round your answers to four decimal places.) 1. P(A) = .2975 (I GOT THIS ANSWER CORRECT) 2. P(B) = .4025 (I GOT THIS ANSWER CORRECT) 3. P(A intersection B) = (I GOT THIS ANSWER WRONG - I THOUGHT IT WAS .1197 - WHICH IS P(A) * P(B)
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 personnel department of Franklin National Life Insurance compiled the accompanying data regarding the income and education of its employees.
| Income $60K or Below | Income above $60K | |
| Noncollege Graduate | 1980 | 830 |
| College Graduate | 410 | 780 |
Let A be the
(a) Find each of the following
1. P(A) = .2975 (I GOT THIS ANSWER CORRECT)
2. P(B) = .4025 (I GOT THIS ANSWER CORRECT)
3. P(A intersection B) = (I GOT THIS ANSWER WRONG - I THOUGHT IT WAS .1197 - WHICH IS P(A) * P(B)
4. P(B | A) = (I GOT THIS ANSWER WRONG - I THOUGHT IT WAS .4025 - WHICH IS P(A intersection B)/ P(A)
5 P(B | Ac) = (I GOT THIS ANSWER WRONG - I THOUGHT IT WAS .4025 - WHICH IS ((1 - P(A)) * P(B)) / (1 - P(A))
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