The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the probability of each event listed in parts (a) through (c) below. Degrees in Field Degrees Outside of Field Total Males 153,515 605,496 759,011 Females 118,834 865,729 984,563 Total 272,349 1,471,225 1,743,574 (a) The student is male or received a degree in the field The probability is (Type an integer or a decimal. Round to three decimal places as needed.) (b) The student is female or received a degree outside of the field The probability is nothing. (Type an integer or a decimal. Round to three decimal places as needed.) (c) The student is not female or received a degree outside of the field The probability is
Addition Rule of Probability
It simply refers to the likelihood of an event taking place whenever the occurrence of an event is uncertain. The probability of a single event can be calculated by dividing the number of successful trials of that event by the total number of trials.
Expected Value
When a large number of trials are performed for any random variable ‘X’, the predicted result is most likely the mean of all the outcomes for the random variable and it is known as expected value also known as expectation. The expected value, also known as the expectation, is denoted by: E(X).
Probability Distributions
Understanding probability is necessary to know the probability distributions. In statistics, probability is how the uncertainty of an event is measured. This event can be anything. The most common examples include tossing a coin, rolling a die, or choosing a card. Each of these events has multiple possibilities. Every such possibility is measured with the help of probability. To be more precise, the probability is used for calculating the occurrence of events that may or may not happen. Probability does not give sure results. Unless the probability of any event is 1, the different outcomes may or may not happen in real life, regardless of how less or how more their probability is.
Basic Probability
The simple definition of probability it is a chance of the occurrence of an event. It is defined in numerical form and the probability value is between 0 to 1. The probability value 0 indicates that there is no chance of that event occurring and the probability value 1 indicates that the event will occur. Sum of the probability value must be 1. The probability value is never a negative number. If it happens, then recheck the calculation.
The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year. A student is selected at random. Find the
|
|
Degrees in Field
|
Degrees Outside of Field
|
Total
|
|
|---|---|---|---|---|
|
Males
|
153,515
|
605,496
|
759,011
|
|
|
Females
|
118,834
|
865,729
|
984,563
|
|
|
Total
|
272,349
|
1,471,225
|
1,743,574
|
- The accompanying table shows the numbers of male and female students in a certain region who received bachelor's degrees in a certain field in a recent year.
| Degree in field | Degree outside in field | Total | |
| Males |
153,515
|
605,496
|
759,011
|
| Females |
118,834
|
865,729
|
984,563
|
| Total | 272,349 | 1,471,225 |
1,743,574
|
a) To determine the probability of the student is male or received a degree in the field,
Number of students male is 759,011.
Probability of students male is .
Number of females received a degree in the field is 118,834.
Probability of females received a degree in the field is .
The probability of the student is male or received a degree in the field is 0.503.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
