Answer:
The standard deviation of the number of people that test positive for the HIV virus =
σ =1.427
Step-by-step explanation:
<u><em>Explanation:-</em></u>
Given the probability that test positive for the HIV virus 'p' = 3% =0.03
Given random samples 'n' = 70
by using binomial distribution
<em>The mean of the samples test positive for the HIV virus </em>
<em> μ = n p = 70 X 0.03 = 2.1</em>
<em>The standard deviation of the number of people that test positive for the HIV virus</em>
<em> σ = </em>
<em></em>
σ = √70 ×0.03×0.97 =√2.037 = 1.427
<u><em>Conclusion</em></u>:-
The standard deviation of the number of people that test positive for the HIV virus = σ =1.427