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In: Statistics and Probability

Our most accurate information about the current pandemic comes from Italy, where there are 101,739 confirmed...

Our most accurate information about the current pandemic comes from Italy, where there are 101,739 confirmed cases out of a population of 60 million. This means about 0.17% of the entire population are confirmed cases. Suppose you have 30 extended family members in Italy and each one independently has a 0.17% chance of being a confirmed case. Use binompdf and binomcdf to find the following probabilities:

4a. What is the probability that exactly 0 of your extended family members is a confirmed case?

4b. What is the probability that exactly 10 of your extended family members are confirmed cases?

4c. What is the probability that less than 5 of your extended family members are confirmed cases?

4d. What is the probability that more than 1 of your extended family members are confirmed cases?

4e. What is the probability that between 2 and 4 of your extended family members are confirmed cases?

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