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What is the distribution of x

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The 2020 death rate of COVID patients that reside in New York nursing homes was 14%. The population of New York nursing home residents is very large in the hundreds of thousands.

Suppose we take a random sample of 9 nursing home residents on Jan 1, 2020, and suppose we observe a random variable X = of number of COVID deaths out of the 9 residents by Jan 1, 2021.

a. What is the distribution of X? Please justify your answer.

b. Calculate the probability that X is greater than zero.

c. Give the probability of only one death and the probability that all 9 are dead.

Reference no: EM132907194

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