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Answer: e. .0950
Step-by-step explanation:
Let X be the number of people that can be cure from disease.
Since each people independently has a 40% chance of contracting the disease.
So ,
A hospital has the capacity to handle at most 8 cases of the disease.
Binomial distribution formula :
Then , the probability that the hospital’s capacity will be exceeded
Hence, the probability that the hospital’s capacity will be exceeded is e. .0950.
Thus , the correct option is e. .0950.