A Bangladeshi vaccine against Covid-19 demonstrated a vaccine efficacy of 40.0% .lt means that vaccinated people have a 40.0% lower risk of gettingCOVID-19 compared to others who weren't vaccinated. Suppose 15 human volunteers from Noakhali were randomly selected for clinical trials.a. What is the mean number of volunteers whoʻll be at a lower risk ?Answer in exact fraction, or rounded to at least 2 decimal places.b. What is the standard deviation in the number of volunteers at a lower risk of getting COVID-19?Answer in exact fraction, or rounded to at least 2 decimal places.c. What is the probability that the number of volunteers with a lower risk is more than 1 standard deviations away from the mean value?Answer in exact fraction, or rounded to at least 4 decimal places.

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Answered: A Bangladeshi vaccine against Covid-19…

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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We have seen that drinking tea appears to offer a strong boost to the immune system. In a study extending the results,' blood samples were taken on 5 participants before and after one week of drinking about five cups of tea a day (the participants did not drink tea before the study started). The before and after blood samples were exposed to e.coli bacteria, and production of interferon gamma, a molecule that fights bacteria, viruses, and tumors, was measured. Mean production went from 155 pg/mL before tea drinking to 448 pg/mL after tea drinking. The mean difference for the 5 subjects is 293 pg/mL with a standard deviation in the differences of 242. The paper implies that the use of the t-distribution is appropriate. 'Adapted from Kamath, A., et. al., “Antigens in tea-beverage prime human Vy2V82 T cells in vitro and in vivo for memory and non-memory antibacterial cytokine responses," Proceedings of the National Academy of Sciences, May 13, 2003; 100(10): 6009-6014. (a) Which method is…
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Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1500 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 11 recent mileages of Citrus cars was taken. The mean of these 11 mileages was 1332 miles per month, and the standard deviation was 232 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the 0.05 level of significance, can it be concluded that the mean recent monthly mileage, u, of Citrus cars is less than 1500 miles per month? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places and round your answers as specified in the table. (If necessary,…
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Bone mineral density (BMD) is a measure of bone strength. Studies show that BMD declines after age 45. The impact of exercise may increase BMD. A random sample of 59 women between the ages of 41 and 45 with no major health problems were studied. The women were classified into one of two groups based upon their level of exercise activity: walking women and sedentary women. The 39 women who walked regularly had a mean BMD of 5.96 with a standard deviation of 1.22. The 20 women who are sedentary had a mean BMD of 4.41 with a standard deviation of 1.02. Which of the following inference procedures could be used to estimate the difference in the mean BMD for these two types of women
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