In: Statistics and Probability
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?