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- 7Sleepwalking Assume that 29.2% of people have sleepwalked (based on “Prevalence and Comorbidity of Nocturnal Wandering in the U.S. Adult General Population," by Ohayon et al., Neurology, Vol. 78, No. 20). Assume that in a random sample of 1480 adults, 455 have sleepwalked. a. Assuming that the rate of 29.2% is correct, find the probability that 455 or more of the 1480 adults have sleepwalked. b. Is that result of 455 or more significantly high? c. What does the result suggest about the rate of 29.2%?Hi, I need help with this problem.
- What is the probability that a traveler with $50,000 income chooses to fly if the travel times and cost are the same for both modes? Utility for Car Utility for Air param. t stat Param. t stat Constant 0.63 1.931 0 fixed Travel Time (mins) -0.03 -16.511 -0.03 -16.511 Travel Cost / Income ($/$) -1238.02 -6.834 -1238.02 -6.834You choose a card at random from a bag which contains cards with the letters in the word PNEUMONOULTRAMICROSCOPICSILICOVOLCANOCONIOSIS Find the probability that you get a consonant. 0.53 O 0.56 O 0.58 0.60Hepatic Disease Suppose we observe 84 alcoholics with cirrhosis of the liver, of whom 29 have hepatomas-that is, liver-cell carci- noma. Suppose we know, based on a large sample, that the risk of hepatoma among alcoholics without cirrhosis of the liver is 24%. 5.50 What is the probability that we observe exactly 29 alcoholics with cirrhosis of the liver who have hepatomas if the true rate of hepatoma among alcoholics (with or without cirrhosis of the liver) is .24?
- Medical researchers have developed a test for a PKP2 gene mutation in humans (which significantly increases cardiac health risks. 1% of the population has this mutation. The test is 95% accurate le a 5% false negative rate and a 5% false positive rate What is the probability that a person has the mutation given that they tested positive? HINT use Bayes Theorem O AIN 0 61% 0.1% 0 14%Sleepwalking Assume that 29.2% of people have sleepwalked (based on “Prevalence and Comorbidity of Nocturnal Wandering in the U.S. Adult General Population,” by Ohayon et al., Neurology, Vol. 78, No. 20). Assume that in a random sample of 1480 adults, 455 have sleepwalked. a. Assuming that the rate of 29.2% is correct, find the probability that 455 or more of the 1480 adults have sleepwalked. b. Is that result of 455 or more significantly high? c. What does the result suggest about the rate of 29.2%?Test for TB TB absent TB present Negative 1739 8 Positive 51 22 Data for TB testing using X-ray imaging Table shows the results of using X-ray imaging as a diagnostic test for tuberculosis in patients with known TB status. Use it to answer the questions below. 1. Calculate the marginal probabilities of the individual random variables, i.e. the probability of positive and negative X-ray test results, and of TB being present and absent. 2. Find the probability of positive result given that TB is absent (false positive rate) and the probability of a negative result given that TB is absent (specificity). 3. Find the probability of negative result given that TB is present (false negative rate) and the probability of a positive result given that TB is present (sensitivity). 4. Find the probability that a person who tests positive actually has TB (probability of TB present given a positive result). 5. Find the probability that a person who tests negative does not have TB (probability of no TB…