7.It's known that 5 % of people in a certain population have the disease (and 95% do not havethe disease).A test for disease gives a positive result (indicating the presence of disease) in 85% of cases whenthe person has the disease, and in 10% of cases when the person does not have the disease.One person is chosen at random from population and is tested.a. Probability that the test gives a positive result for this person isb. If the test result is positive for this person, then the probability that this person actuallyhas the disease is_Assuming that the event "A randomly selected person has the disease" is denoted by D andthe event "The test for randomly selected person has positive result "is denoted by T,show your work in finding probabilities in a. and b.

According to the information provided in the question, of population have the disease. of population…

Answered: a. Probability that the test gives a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Suppose there is a 14.1% probability that a randomly selected person aged 30 years or older is a smoker. In addition, there is a 25.4% probability that a randomly selected person aged 30 years or older is male, given that he or she smokes. What is the probability that a randomly selected person aged 30 years or older is male and smokes? ea PPO Fir The probability that a randomly selected person aged 30 years or older is male and smokes is (Round to three decimal places as needed.). ja ai ee lin
The probability that a person has a certain disease is 0.02 Medical diagnostic tests are available to determine whether the person actually has the disease. If the disease is actually present, the probability that the medical diagnostic test will give a positive result (indicating that the disease is present) is 0.90. If the disease is not actually present, the probability of a positive test result (indicating that the disease is present) is 0.01. If the medical diagnostic test has given a positive result (indicating that the disease is present), what is the probability that the disease is actually present?
assuming that the characteristics listed above are independent of each other, what is the probability that a randomly selected couple has all these characteristics? calculate the probability.
A survey showed that 83% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 18 adults are randomly selected, find the probability that at least 17 of them need correction for their eyesight. Is 17 a significantly high number of adults requiring eyesight correction? ... The probability that at least 17 of the 18 adults require eyesight correction is (Round to three decimal places as needed.)
The mean number of patients admitted per day to the emergency room of a small hospital 1.3, if on a given day, there are only two beds available for new patients, what us the probability that the hospital will not have neough beds to accommodate its newly admitted patients ?
Suppose that the probability an archer will hit a target is 0.80 and that each shot is independent. If the archer shoots 6 times, what is the probability she hits the target at least 5 times? (Round your answer to three decimal places.)
FInd the expected number of infected ducks in a sample of 5 ducks if the probability of an infected duck is .3 and the ducks are considered to be independent.
A survey showed that 75% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 10 adults are randomly selected, find the probability that at least 9 of them need correction for their eyesight. Is 9 a significantly high number of adults requiring eyesight correction? The probability that at least 9 of the 10 adults require eyesight correction is ____ (Round to three decimal places as needed) Is 9 a significantly high number of adults requiring eyesight correction? Note that a small probability is one that is less than 0.05. A. Yes, because the probability of this occurring is small. B. No, because the probability of this occurring is small. C.Yes, because the probability of this occurring is not small. D. No, because the probability of this occurring is not small.
A survey showed that 81% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 20 adults are randomly selected, find the probability that no more than 1 of them need correction for their eyesight. Is 1 a significantly low number of adults requiring eyesight correction? The probability that no more than 1 of the 20 adults require eyesight correction is (Round to three decimal places as needed.)
Q5. It was found that a New Brunswick family doctor has on average 14 patients calling in for anappointment they say they need to have on that very day during a standard 10 hour work day.Using the tables(a) What is the probability that a New Brunswick family doctor has more than 20 patientscalling in for an appointment they say they need to have on that very day during a standard10 hour work day?(b) What is the probability that a New Brunswick family doctor has more than 2 patientscalling in for an appointment they say they need to have on that very day during the nexthour?(c) What is the probability that a New Brunswick family doctor has 7 or less 20 patientscalling in for an appointment they say they need to have on that very day during the next3 hours?(d) For this situation, determine the probabilities of being within 1, 2 an d 3 standard deviations for the mean and compare these results to the empirical rule

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