3. (Rosner book – Page 110, Q: Infectious Disease) A study considered risk factors of HIV infection amongintravenous drug users. It found that 40% of users who had < 100 injections per month (light users) and 55%of users who had > 100 injections per month (heavy users) were HIV positive.a. What is the probability that exactly 3 of 5 light users are HIV positive?b. What is the probability that at least 3 of 5 light users are HIV positive?c. Suppose we have a group of 10 light users and 10 heavy users. What is the probability that exactly 3of the 20 users are HIV positive?d. What is the probability that at least 4 of the 20 users are HIV positive?e. Is the distribution of number of HIV positive among the 20 users binomial? Why or why not?

Given : Light users=40% Heavy users =55% Note :As per guidelines only first 3 subparts have been…

Answered: 3. (Rosner book – Page 110, Q:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1,000 randomly selected business executives were polled. Assume that 25 percent of all business executives feel that the benefits of outsourcing are either less or much less than expected. What is the probability of observing a random sample of 1,000 randomly selected business executives with a sample proportion of 22 percent? Among the 1,000 business executives polled, 220 felt that the benefits of outsourcing were either less or much less than expected. What do you conclude about the population proportion of business executives who feel that the benefits of outsourcing are either less or much less than expected?
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The least-squares regression equation is y=761.7x+13,208 where y is the median income and x is the percentage of 25 years and older with at least a bachelor's degree in the region. The scatter diagram indicates a linear relation between the two variables with a correlation coefficient of 0.7483. Predict the median income of a region in which 20% of adults 25 years and older have at least a bachelor's degree.
7. On average, 4 emails are received per hour. What is the probability of receiving at least 6 emails in the next hour?
a population has population proportions of P=0.50. A random sample size of 70 will be taken. a. What is the probability that a sample proportion is greater than 0.70? b. what is the probability that a sample proportion is less than 0.60? c. what is the probability that a sample proportion is within +_ 0.20 of the population proportion?
A survey showed that 80% of adults need correction (eyeglasses, contacts, surgery, etc.) for their eyesight. If 16 adults are randomly selected, find the probability that at least 15 of them need correction for their eyesight. Is 15 a significantly high number of adults requiring eyesight correction? The probability that at least 15 of the 16 adults require eyesight correction is (Round to three decimal places as needed.)
The probability that someone can taste PTC is 0.7. Suppose 20 people are randomly selected andtested for their ability to taste PTC.(a) What is the probability that 17 or more can taste PTC?(b) What is the probability that 15 or fewer can taste PTC?
How is it that K= 0 in this specific question A univeristy found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 students registered for the course. What is the probability that 2 or fewer will withdraw?
The mean number of patients admitted per day to the emergency room of a small hospital is 1.5. If, on any given day, there are only 7 beds available for new patients, what is the probability that the hospital will not have enough beds to accommodate its newly admitted patients?
A certain disease affects about 1 out of 10, 000 people. There is a test to check whether the person has the disease. The test is quite accurate. In particular, we know that • the probability that the test result is positive (suggesting the person has the disease), given that the person does not have the disease, is only 2 percent; • the probability that the test result is negative (suggesting the person does not have the disease), given that the person has the disease, is only 1 percent. A random person gets tested for the disease and the result comes back positive. What is the probability that the person has the disease?
I need help with this please. Do not round the answer.
How to Calculate the expected number of emergency calls in a week?

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