1. What is the probability the person is 18 to 24 years old? 2. What is the probability the person is 55 to 65 years old? 3. What is the probability the person is 45 or older?
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.
![1. The U.S adult population by age is as follows. The data are in millions of people.
Age
Numbers
Numbers
18 to 24
2.8
25 to 34
4.0
35 to 44
4.3
45 to 54
4.9
55 to 64
3.7
65 and over
3x6.8
Instead of x6 write your class number ( e.g. your class number is 181408 then x6 = 8.
Complete the above table.
Assume that a person will be randomly chosen from this population.
1. What is the probability the person is 18 to 24 years old?
2. What is the probability the person is 55 to 65 years old?
3. What is the probability the person is 45 or older?
4. What is the probability the person is 65 and over years older?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30dd4610-043a-4368-a14c-f00ba1bbfad9%2F814273c4-46ea-42b2-82b9-6b78d5e8b0fd%2Fl636dch_processed.png&w=3840&q=75)
![ii.
Using the binomial distribution, find the probabilities of
a. 3 successes in 8 trails when p=04.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30dd4610-043a-4368-a14c-f00ba1bbfad9%2F814273c4-46ea-42b2-82b9-6b78d5e8b0fd%2F0faqq7i_processed.png&w=3840&q=75)
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