Question
It is estimated that Death Rate = (number of deaths / number of cases) = probability...
It is estimated that Death Rate = (number of deaths / number of cases) =
probability of dying if infected by the corona virus COVID-19 is 14:8% for 80+ years old. Let X equal the number of death persons from this age group infected by the corona virus in a sample of n = 15: How is X distributed? Write down all probabilities from this distribution.
Answers
Probability of dying if infected by the corona virus COVID-19 is 14.8% = 0.148
Since the Probability of dying if infected by the corona virus is constant and independent, X will follow Binomial distribution with parameters n = 15 and p = 0.148.
The probability distribution of X is,
P(X = x) = 15Cx * 0.148x * (1 - 0.148)15-x = 15Cx * 0.148x * 0.85215-x
Using the probability distribution , we calculated below probabilities.
x P(X = x) 0 0.09048861 1 0.2357802 2 0.2866998 3 0.2158101 4 0.1124644 5 0.04297935 6 0.01244316 7 0.002779056 8 0.0004827468 9 0.000065222 10 0.0000067978 11 0.00000053675 12 3.107927 x 10-8 13 1.245864 x 10-9 14 3.091682 x 10-11 15 3.580352 x 10-13
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