N + 4.5 = 8.2
n = 8.2 - 4.5
n = 3.7
If about 20% of British children are deficient in vitamin and doctors test a group of elementary school children, the probability that the first vitamin d-deficient child is the 8th one tested is 4.19% determined using geometric distribution formula.
In probability and statistics, geometric distribution refers to the probability that first success would occurs after n number of trials and is given by:
P(X)=q^(x-1)p
Where p is the probability of success and q is (1-p)
In this case,
p=probability of children deficient in vitamin= 0.2
q= probability of children not deficient in vitamin= 0.8
Hence,
P(8)=0.8^(8-1)*0.2= 0.0419
Hence, the probability that 8th child is deficient is 4.19%
Learn more about geometric distribution:
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Answer:
B / 452.4 cubic inches
Step-by-step explanation:
The equation to find the volume of a cylinder is<em> V = πr²h, </em>where r is the radius and h is the height. The height of the cylinder in this image is 16 inches and the radius of the cylinder is 3 so if you plug those numbers into the equation, it would look like V = π3²16 and if you simplify it, it turns into V = 452.38, which when round to the nearest tenth, is 452.4 cubic inches.
