The probability that a kid who goes to the doctor has a sore throat given that he has a fever is <u>0.30 or 30%</u>. Computed using conditional probability.

The probability of any event A given that event B has already taken place is found using the formula P(A|B) = P(A ∩ B)/P(B). This is known as conditional probability, where P(A ∩ B) is the probability of events A and B, and P(B) is the probability of event B.

In the question, we are given that 70% of kids who visit a doctor have a fever and 21% of kids have a fever and sore throats.

We are asked to find the probability that a kid who goes to the doctor has a sore throat given that he has a fever.

We suppose the event of going to the doctor while having a fever to be B, and going to a doctor while having a sore throat to be A.

We are given that 70% of kids who visit a doctor have a fever, that is, the probability of event B, P(B) = 70% = 0.7.

We are given that 21% of kids who visit a doctor have a fever and sore throats, that is, the probability of event A and event B, P(A ∩ B) = 21% = 0.21.

We are asked to find the probability that a kid who goes to the doctor has a sore throat given that he has a fever, that is, we are asked to find the conditional probability of event A, when event B has already taken place, that is, P(A|B).

By formula, we know that:

P(A|B) = P(A ∩ B)/P(B) = 0.21/0.70 = 0.30.

Thus, the probability that a kid who goes to the doctor has a sore throat given that he has a fever is <u>0.30 or 30%</u>.

Learn more about conditional probability at

brainly.com/question/10739997

#SPJ4

3 0

1 year ago

Please can someone do this for me? thanks alot x

Nimfa-mama [501]

Answer:

<em>Learning Objective</em>: Use the mean and range to <u>compare</u> the spread and averages.

a) Sarah Mean = 70.9, Katie Mean = 78.9

b) Sarah Range = 15, Katie Range = 25

c) Sentences

- The <u>mean</u> shows, on average, Sarah was 8 seconds quicker than Katie.

- The <u>range</u> shows that Sarah was more consistent with her times. Katie had a larger spread of times which shows she was less consistent.

Step-by-step explanation:

Given:

Sarah's Data Set:

79, 70, 68, 75, 69, 64, 69, 75, 64, 76

Katie's Data Set:

79, 79, 76, 81, 89, 76, 64, 85, 82, 78

To Find:

The mean and range of both data sets separately.

Work:

The mean of a data set is commonly known as the average. You find the mean by taking the sum of all the data values and dividing that sum by the total number of data values. The formula for the mean of a population is $\mu = \frac{{\sum}x}{N}$ .

The formula for the mean of a sample is $\bar{x} = \frac{{\sum}x}{n}$ .

Both of these formulas use the same mathematical process: find the sum of the data values and divide by the total. For the data values given above, the solution is: $\frac{709}{10} = 70.9$

Therefore, the mean of Sarah's data set is 70.9.

For Katie's Data Set, $\frac{789}{10} = 78.9$ .

Therefore, the mean of Katie's data set is 78.9.

To fill in the summary, we have to use the data we just calculated.

That summary can be found in the answer section.

4 0

1 year ago

Read 2 more answers

If anyone can answer I will give brainleiest ​

If anyone can answer I will give brainleiest