The 2020 death rate of COVID patients that reside in New York nursing homes was 15%. The population of New York nursing home residents is very large in the hundreds of thousands. Suppose we take a random sample of 8 nursing home residents on Jan 1, 2020, and suppose we observe a random variable X = of number of Covid deaths out of the 8 residents by Jan 1, 2021. 1. What is the distribution of X? Please justify your answer by writing down the reasons why you believe your choice of distribution is correct. 2. Calculate the probability that X is greater than zero. 3. Give the probability of only one death and the probability that all 8 are dead.
The 2020 death rate of COVID patients that reside in New York nursing homes was 15%. The population of New York nursing home residents is very large in the hundreds of thousands. Suppose we take a random sample of 8 nursing home residents on Jan 1, 2020, and suppose we observe a random variable X = of number of Covid deaths out of the 8 residents by Jan 1, 2021. 1. What is the distribution of X? Please justify your answer by writing down the reasons why you believe your choice of distribution is correct. 2. Calculate the probability that X is greater than zero. 3. Give the probability of only one death and the probability that all 8 are dead.
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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Transcribed Image Text:The 2020 death rate of COVID patients that reside in New York nursing homes was 15%. The population of New York nursing home residents is very
large in the hundreds of thousands.
Suppose we take a random sample of 8 nursing home residents on Jan 1, 2020, and suppose we observe a random variable X = of number of Covid
deaths out of the 8 residents by Jan 1, 2021.
1. What is the distribution of X? Please justify your answer by writing down the reasons why you believe your choice of distribution is correct.
2. Calculate the probability that X is greater than zero.
3. Give the probability of only one death and the probability that all 8 are dead.
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