The 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 mean of the binomail distribution that thenumber of patients alive till 63 years ?YOU CAN USE ONLINE SIMULATION CALCULATOR.
Question
The 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 mean of the binomail distribution that thenumber of patients alive till 63 years ?YOU CAN USE ONLINE SIMULATION CALCULATOR.
Solution
The mean of a binomial distribution is calculated by multiplying the number of trials (n) by the probability of success (p). In this case, the number of trials is the number of patients, which is 6, and the probability of success is the probability that a patient will live till 63 years of age, which is 0.182.
So, the mean (μ) of the binomial distribution is:
μ = n * p μ = 6 * 0.182 μ = 1.092
So, on average, we would expect about 1 (or to be more precise, 1.092) out of 6 HIV positive patients of 20 years to live till 63 years of age.
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