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The mean of the given sample data is 210, and the standard deviation is 7.937.
Given size 'n' = 300
The population proportion 'p' = 0.7
Let 'x' be the random variable of the binomial distribution
a) mean of the binomial distribution = n p = 300 × 0.7
μ = 210
b) variance of the binomial distribution
⇒ n p q
⇒ 300 × 0.7 ×0.3
⇒ σ² = 63
The standard deviation of the binomial distribution:
⇒ √n p q = √63 = 7.937
Thus, the mean of the given sample data is 210, and the standard deviation is 7.937.
Learn more about the standard deviation here:
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The question seems to be incomplete the correct question would be:
describe the sampling of p hat. Assume that the size of the population is 25000 n= 300 p=0.7 a) Determine the mean of the sampling distributionb) Dtermine the standard deviation of the sampling distribution
The base of the cylinder is a circle in which the area is calculated through the equation,
A = πr²
We are given that area is 25π in². From this and the equation above, the value of r is equal to 5 in. Using this calculated value as the height, the volume of the cylinder is,
V = Bh
where B is area of the base and h is height.
V = (25π in²)(5 in) = 125π in³
or also equal to,
V = 392.7 in
Step-by-step explanation:
g(f(x))= 2(x + 1)
= 2x + 2