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A patient in a doctor's oce has a rash. Statistics say that 80% of patients with this kind of rash have Disease A, and the other 20% have Disease B.
The doctor performs a blood test on the patient and discovers that the patient has low iron. Among people who have Disease A, 15% have low iron. Among people with Disease B, 90% have low iron.
(a) What are the prior probabilities of Disease A and Disease B, before the blood test?
(b) Based on these prior probabilities, which disease is more likely, before the blood test?
(c) What are the posterior probabilities of Disease A and Disease B, after the blood test results are known?
If the campaign manager's claim is correct, what is the probability that the sample proportion would be no more than 0.49 for a sample of this size? Based on your answer to part (a), speculate on whether the campaign manager's claim might be mistak..
A student wants their College to offer Kickboxing classes as a Physical Education class. To justify that the class is desired he surveys 200 students and finds that 56% would be interested in taking the class.
If a technical assistant is randomly selected, what is the probability that she would like to have MAC, given that she would like to have a PC as well?
A patient is chosen at random from the clinic. What is the probability that the patient's test comes out positive for Lyme disease?
What are the final values for x and y for each algorithm?
Given that a vehicle is imported, what is the conditional probability that it is a light truck?- Are the events "vehicle is a light truck" and "vehicle is imported" independent? Justify your answer.
Problem: The assistant manager of a surf shop estimates that 65% of customers will make a purchase.
27% fall into both categories. What is the probability a randomly selected student commutes and does not participate in a student organization?
The annual profits of small business owners in the town of Brownville has a normal distribution with a mean of $60,000 and standard deviation $5000.
For each of the following, identify the scale of measurement (NOIR) and the best measure of central tendency for the data.
The length of time it takes college students to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes
If an assumption of Normality is justified, use the 68-95-99.7 Rule to describe how many students in the freshman class might have right-brain language control.
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