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 getting COVID-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.

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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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 getting
COVID-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.
Transcribed Image Text: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 getting COVID-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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