Respuesta :
Answer:
Step-by-step explanation:
N=503
P=0.7
Sqrt(503×0.7(1-0.7))=10.28
The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.
What is the standard deviation?
It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
The value of n = 503
The value of p = 0.7
For the binomial distribution:
As we know,
The formula for the standard deviation:
σ = √[p(1 - p)n]
Plug the values of p, and n, we get:
σ = √[0.7(1 - 0.7)503]
σ = √[0.7(0.3)503]
σ = √[0.21x503]
σ = √[105.63]
σ = 10.277 ≈ 10.28
Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.
Learn more about the standard deviation here:
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