In a psychological experiment investigating how individuals change their assessments ofprobability in the light of data, subjects have to indicate their probabilities for certain events bymoving a pointer on a scale between 0 and 1. Consider a subject who is unable to give anyworthwhile assessment of a particular probability, and decides to place the pointer randomly,with each point in (0,1) equally likely to be the point chosen. In such a case, what is theprobability that the ratio of the resulting shorter segment to the longer segment is less than 1?

Answered: Image /qna-images/answer/b68a1dcc-df04-41a2-9a92-c600f9d00d1e.jpg

Answered: In a psychological experiment…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Research has shown that approximately 1 woman in 500 carries a mutation of a particular gene. About 45% of women with this mutation develop bladder cancer. Find the probability that a randomly selected woman will carry the mutation of this gene and will develop bladder cancer. ... Sample Space: Women Women with mutated gene Women who develop bladder cancer The probability that a randomly selected woman will carry the gene mutation and develop bladder cancer is (Round to four decimal places as needed.)
Whether or not you need glasses appears (ha ha) to depend mostly on your genes, but is also influenced by your environment. According to one study, for a family where both parents wear glasses with 5 children, the probability of the children needing glasses is shown below (genetics.thetech.org/ask/ask73). Number of Children with Probability Glasses 0.132 0.330 0.330 0.164 4 0.041 0.003 In a randomly selected family with 5 children, what is the probability that more than 3 children will need glasses?
A research group conducted an extensive survey of 2940 wage and salaried workers on issues ranging from relationships with their bosses to household chores. The data were gathered through hour-long telephone interviews with a nationally representative sample. In response to the question, "What does success mean to you?" 1470 responded, "Personal satisfaction from doing a good job." Let p be the population proportion of all wage and salaried workers who would respond the same way to the stated question. How large a sample is needed if we wish to be 95% confident that the sample percentage of those equating success with personal satisfaction is within 1.6% of the population percentage? (Hint: Use p ≈ 0.50 as a preliminary estimate. Round your answer up to the nearest whole number.) workers
Of all 3- to 5-year-old children, 56% are enrolled in school. If a sample of 500 such children is randomly selected, find the probability that the sample proportion of students who are enrolled in school is greater than 0.5.
2. Calculate the determinate of matrix A using the properties of matrices. Use the definition of eterminant only after obtaining zeros for all but one entry on a single row or column, and use the efinition only on that row or column to reduce the size of the matrix for the computation. Show l of your steps. 957256521) A = 1 1 2 1 1 -1 -2 0 1 0-1 2 1 0 2 2 3 1 2 1 0-1 3 1 2
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.)
A pharmaceutical company is running trials on a new test for anabolic steroids. The company uses the test on 400 athletes known to be using steroids and 200 athletes known not to be using steroids. Of those using steroids, the new test is positive for 375 and negative for 25. Of those not using steroids, the test is positive for 25 and negative for 175. What is the relative frequency of a false negative result (the probability that an athlete using steroids will test negative)? (Round your answer to two decimal places.) What is the relative frequency of a false positive result (the probability that an athlete not using steroids will test positive)? (Round your answer to two decimal places.)
a. What is the probability of seeing positive change? b. What is the probability of seeing positive change given that the tree is oak? c. Do the data suggest effect and tree type are independent events? yes or no
A survey showed that 79% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 15 adults are randomly selected, find the probability that at least 14 of them need correction for their eyesight. Is 14 a significantly high number of adults requiring eyesight correction? The probability that at least 14 of the 15 adults require eyesight correction is nothing. (Round to three decimal places as needed.)
Based on a study by Dr. P. Sorita at Indiana University, approximately 12% of people have green eyes. In a sample of 650 people, find the probability that exactly 75 people have green eyes.

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