A laboratory worker finds that 3% of his blood samples test positive for the HIV virus. In a random sample of 70 blood tests, what is the standard deviation of the number of people that test positive for the HIV virus

The standard deviation  of the number of people that test positive for the HIV virus =  

   σ  =1.427

Step-by-step explanation:

Explanation:-

Given the probability that test positive for the HIV virus 'p' = 3% =0.03

Given random samples 'n' = 70

by using binomial distribution

The mean of the samples test positive for the HIV virus  

                     μ = n p = 70 X 0.03 = 2.1

The standard deviation  of the number of people that test positive for the HIV virus

                σ =  

                 σ  = √70 ×0.03×0.97 =√2.037 = 1.427

Conclusion:-

The standard deviation  of the number of people that test positive for the HIV virus =  σ      =1.427

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step-by-step explanation:

the x's and the y's both go up the same amount each time, therefore it will be a linear function because it will go in a straight line when drawn on a graph.

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probability for j is 1/4

while

a is 1/6