In the caseThe probability is 0.182 that a person with HIVpositive at the age of 20 years will live till 63 years of age. Among6 HIV positive patients of 20 years, what is the Standard deviation of the Binomial distribution that thenumber of patients alive till 63 years ?YOU CAN USE ONLINE SIMULATION CALCULATOR.
Question
In the caseThe probability is 0.182 that a person with HIVpositive at the age of 20 years will live till 63 years of age. Among6 HIV positive patients of 20 years, what is the Standard deviation of the Binomial distribution that thenumber of patients alive till 63 years ?YOU CAN USE ONLINE SIMULATION CALCULATOR.
Solution
The standard deviation of a binomial distribution can be calculated using the formula:
σ = sqrt(np(1-p))
where:
- n is the number of trials (in this case, the number of patients, which is 6)
- p is the probability of success on each trial (in this case, the probability of a patient living till 63 years, which is 0.182)
Plugging these values into the formula, we get:
σ = sqrt(60.182(1-0.182))
You can use an online calculator to compute this value.
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