The following table of 850 students shows those that have or don’t have covid-19 and shows those who had a positive test or a negative test. I just made this data up so don’t take this as representative of our current state. Answer the following questions. Positive Test Negative Test Have Covid-19 45 5 Don’t have Covid-19 25 775 Let D be the event you Don’t have Covid-19 and N the event you have a negative test. P(D) = _____ P(D | N) = ______ Are D and N independent? ______ 4. Explain _______ 5. What is the probability that you Have Covid-19 even though the test came back negative
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 following table of 850 students shows those that have or don’t have covid-19 and shows those who had a positive test or a negative test. I just made this data up so don’t take this as representative of our current state. Answer the following questions.
|
|
Positive Test |
Negative Test |
|
|
Have Covid-19 |
45 |
5 |
|
|
Don’t have Covid-19 |
25 |
775 |
|
|
|
|
|
|
Let D be the
- P(D) = _____
- P(D | N) = ______
- Are D and N independent? ______ 4. Explain _______
5. What is the
Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a time so we are answering the first three as you have not mentioned which of these you are looking for. Please re-submit the question separately for the remaining sub-parts .
Given:
The contingency table of the number of Covid cases and it's result is shown below
| Positive test (N') | Negative test (N) | Total | |
| Have Covid-19 (D') | 45 | 5 | 50 |
| Don't have Covid-19 (D) | 25 | 775 | 800 |
| Total | 70 | 780 | 850 |
D is the event you Don’t have Covid-19
N is the event you have a negative test.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
