An article gives the median and a few probabilities that relate to the incubation period of...

An article gives the median and a few probabilities that relate to the incubation period of the coronavirus. We'll make the assumption that the incubation period is approximately normally distributed in the population of people who contract the virus.

a) Define Xi to be the incubation period of Covid 19 in patient i. Assume that Xi has an approximately normal distribution with mean 5.1 (The article aays the median is 5.1, and since we're assuming a normal distribution, which is symmetric, the mean also is 5.1). The article says that 0.975 of people develop symptoms within 11.5 days of exposure. In other words, P(Xi<11.5)=0.975. Calculate the standard deviation of the distribution of Xi. Four decimals.

b) Assuming Xi has an approximately normal distribution with mean 5.1 and the standard deviation that you calculated in the previous question, what is the probability a person will develop symptoms more than 14 days after exposure? In other words, what is P(Xi>14)? Four decimals.

Expert Solution

orchestra answered 2 years ago

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