The probability that person A will make a 90% on a test is 0.85. The probability that person B will make a 90% on a test is 0.9. The probability that person c will make a 90% on a test is 0.95. What is the probability that at least two of them will make a 90% on a test.
The probability that person A will make a 90% on a test is 0.85. The probability...
The probability that a sales person can make a sale with a pre-screened prospect based on a particular method of product presentation is 0.28. Assume that the salesperson makes 6 phone calls. (a) What is the probability that this sales person will complete one or no sales? (b)What is the probability that this sales person will complete at least 2 sales? Show your work (write clearly if writtent)
3. Assume 6% of people have a certain disease. A test gives correct diagnosis with probability 0.85 i.e. if the person is sick, the test will be positive with probability 0.85, but if the person is not sick, the test will be positive with probability 0.15. A random person from the population has tested positive for the disease. What is the probability that he is actually sick? Part 2. Random Variables
The Motor Vehicle Department has found that the probability of a person passing the test for a driver's license on the first try is 0.74. The probability that an individual who fails on the first test will pass on the second try is 0.83, and the probability that an individual who fails the first and second tests will pass the third time is 0.65. Find the probabilities that an individual will do the following a. P(Fail both the first and...
3) A certain blood test for a disease gives a positive result 90% of the time among patients having the disease. It also gives a positive result 25% of the time among people who do not have the disease. It is believed that 30% of the population has this disease a) What is the probability that a person with a positive test result indeed has the disease? b) What is the probability that the blood test gives a negative result?...
A lab test produces a positive result with 90% probability when the patient is actually sick and with 10% if the patient is healthy. It is known that 15% of the population is sick. (a) What is the joint probability function of patients’ health and test results? (b) If the test is positive, what is the probability that the patient is actually sick? (c) The probability you just calculated in part 1b is the _____ probability of ____ given _____.
3) Suppose the probability of having a disease is .001, and a blood test is 100% effective in detecting the disease when the person has the disease. However, the test yields a "false positive" for 1% of healthy persons tested. What is the probability a person has the disease given that his test result is positive? Is the answer approximately a).44 b).01 c).09 d).90
5. A medical test for malaria is subject to some error. Given a person who has malaria, the probability that the test will fail to reveal the malaria is 0.06. Given a person who does not have malaria, the test will correctly identify that the person does not have malaria with probability 0.91. (a) If someone has malaria, what is the probability that the test will identify that person as having malaria? (b) Suppose three unrelated individuals who are not...
9) Alie detector test is such that when given to an innocent person, the probability of this person being judged guilty is 0.05; on the other hand, when given to a quilty person, the probability of this person being judged innocent is 0.07. Suppose 2% of the people in the population are guilty. a) Given that a person picked at random is judged innocent, what is the probability that the person is indeed innocent ? Given that a person picked...
The probability that a person passes a test, P, is .7. The probability of not passing, NP, is .3. P (P) = .7 P (NP) = .3 The probability that you came to class, C, given that you passed is .9. NC is did not come to class. The probability that you did not pass given that you came to class is .3. P (C / P) =.9 P(C / NP) =.1 Find the probability that you passed...
A new, non-evasive, test is to indicate the existance of colorectal cancers in patients who have colorectal cancer with a probability of 0.95. However, this test will also show the presense of colorectal cancer in patients who do not have colorectal cancer 22% of the time. The chance that a person taking this test has colorectal cancer is 0.09 Find the sensitivity of this test. Use two decimals. b. Find the specificity of this test. Use two decimals. c. A...