Question
Question 1: A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total
Question 1:
A medical test is available to determine whether a patient has a certain disease. To determine the accuracy of the test, a total of 9600 people are tested. Only 200 of these people have the disease, while the other 9400 are disease free. Of the disease-free people, 9100 get a negative result, and 300 get a positive result. The 200 people with the disease all get positive results. Round your answers to four decimal places, if necessary.
(b)Find the probability that the test gives the correct result for a person who has the disease.
The probability that the test gives the correct result for a person who has the disease is blank. |
Question 2:
Following is the probability distribution of a random variable that represents the number of extracurricular activities a college freshman participates in.
x | 0 | 1 | 2 | 3 | 4 |
---|---|---|---|---|---|
Px | 0.07 | 0.13 | 0.45 | 0.22 | 0.13 |
(a) Find the probability that a student participates in exactly three activities.
The probability that a student participates in exactly three activities is blank. |
Question 3:
A binomial experiment has the given number of trials n and the given success probability p.
n=9, p=0.2
(a )Determine the probability P5. Round the answer to at least four decimal places.
Question 4:
High blood pressure: A national survey reported that 34% of adults in a certain country have hypertension (high blood pressure). A sample of 24 adults is studied.
(a) What is the mean number of adults who have hypertension? Round the answer to two decimal places.
The mean number of adults who have hypertension is blank. |
(b) What is the standard deviation of the number of adults who have hypertension? Round the answer to four decimal places.
The standard deviation of the number of adults who have hypertension is blank. |
Question 5:
Compute the mean and standard deviation of the random variable with the given discrete probability distribution.
x | Px |
7 | 0.26 |
3 | 0.13 |
2 | 0.25 |
7 | 0.28 |
8 | 0.08 |
(a) Find the mean. Round the answer to three decimal places, if necessary.
The mean is blank. |
(b) Find the standard deviation. Round the answer to three decimal places, if necessary.
The standard deviation is blank. |
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