3. A diagnostic test for a pneumonia is 95 percent accurate, in that if Kier has the pneumonia, itwill detect it with a probability of 0.95, and if Kier does not have the pneumonia, it will give anegative result with a probability of 0.95. Suppose that only 0.5 percent of the population hasthe pneumonia in question. Kier is chosen at random from this population. The test indicatesthat this Kier has the pneumonia. What is the probability that he does have the pneumonia?

Let A and B be two events with P(A) > 0. Then the conditional probability of B given A, is the…

Answered: 3. A diagnostic test for a pneumonia is…

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 that for Americans in the age group 18-24 years, sixty-eight percent had private health insurance. In the age group 25-34 years, the percentage is seventy-five. If we select a random sample of 273 Americans from the 18-24 age group and an independent random sample of 247 Americans from the age group 25-34, then the probability that the difference in percent of private health insurances is between -6% and 6% between the two groups is approximately: d. 0.6005 c. 0 a. 0.3995 b. 0.0019 e. 0.419
ssume that 33.2% of people have sleepwalked. Assume that in a random sample of 1454 adults, 523 have sleepwalked. a. Assuming that the rate of 33.2% is correct, find the probability that 523 or more of the 1454 adults have sleepwalked. b. Is that result of 523 or more significantly high?
i need help answering questions 1 and 2 that go along with picture... 1. P(four or more cell phones)= (Round to three decimal places as needed.) 2. Is it unlikely for a household to have four or more cell phones in use? A. Yes, because the probability of a respondent with four or more cell phones in use is greater than0.05. B.No, because the probability of a respondent with four or more cell phones in use is greater than 0.05. C.No,because the probability of a respondent with four or more cell phones in use is less than or equal to 0.05. D.Yes,because the probability of a respondent with four or more cell phones in use is less than or equal to0.05.
Suppose that in a certain large population, the proportion of people that have blue eyes is 0.34. If 10 people are randomly and independently selected from this population, what is the probability that more than one has blue eyes? (Give your response to at least 3 decimal places
The probability of randomly sampling a student on campus and finding that they are wearing a red shirt is .3. what is the probability of sampling 10 students and finding that exactly 4 are wearing red shirts in any order? Give your answer as 0.XX
It is known that roughly 2/3 of all human beings have a dominant right foot or eye. Is there also right-sided dominance in kissing behavior? An article reported that in a random sample of 121 kissing couples, both people in 75 of the couples tended to lean more to the right than to the left. (Use a = 0.05.) USE SALT (a) If 2/3 of all kissing couples exhibit this right-leaning behavior, what is the probability that the number in a sample of 121 who do so differs from the expected value by at least as much as what was actually observed? (Round your answer to four decimal places.) (b) Does the result of the experiment suggest that the 2/3 figure is implausible for kissing behavior? State the appropriate null and alternative hypotheses. O Ho: P = 2/3 H₂: P = 2/3 O Ho: P = 2/3 H₂: P > 2/3 O Ho: P = 2/3 H₂: p ≤ 2/3 O Ho: P = 2/3 H₂: P < 2/3 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) Z…
Consider 2 experiments. Experiment 1:4 fair dices are tossed. The person wins he/she gets one or more 1's. Experiment 2: 8 fair dices are tossed. The person wins if he/she gets two or more l’s. Identify which experiment has a higher probability of winning.
A blood bank asserts that a person with type O blood and a negative Rh factor (Rh−) can donate blood to any person with any blood type. Their data show that 49% of people have type O blood and 17% of people have Rh− factor; 52% of people have type O or Rh− factor. A. Find the probability that a person has both type O blood and the Rh− factor. B. Find the probability that a person does NOT have both type O blood and the Rh− factor.
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.)
Samuel F.B. Morse (1791 – 1872), the creator of Morse Code, claimed that 12% of all letters used in the English language were “e”s. Suppose random samples of 196 letters are selected from a book What is the probability that a random sample of 196 letters will contain at least 10% "e"s? Type your calculated z-score here. Express its value to the nearest hundredth (two decimal places). Type your probability here. Express its value to four decimal places. Do not round.
The probability of a randomly selected adult in one country being infected with a certain virus is 0.006. In tests for the virus, blood samples from 25 people are combined. What is the probability that the combined sample tests positive for the virus? Is it unlikely for such a combined sample to test positive? Note that the combined sample tests positive if at least one person has the virus. a. The probability that the combined sample will test positive is (Round to three decimal places as needed.)
It is estimated that one in twenty-five Americans is a cystic fibrosis carrier. Find the probability that a randomly selected American couple's child will have cystic fibrosis (assuming that they are unrelated). (Enter your answer to four decimal places.)

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