# X denotes a binomial random variable with parameters n and

X denotes a binomial random variable with parameters n and p, Indicate which area under the appropriate normal curve would be determined to approximate the specified binomial probability.
$$\displaystyle{P}{\left({X}≥{8}\right)}$$

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Lacey-May Snyder

Step 1
Continuity corection:
The binomial probability is converted to a normal distribution probability by using the continuity correction.
f the binomial probability represents $$\displaystyle{X}\geq{a}$$ then subtract 0.5 from a and 0.5 to n where n represents the number of trials.
That is,
$$\displaystyle{P}{\left({X}\geq{8}\right)}={P}{\left({8}-{0.5}{<}{x}{<}{n}+{0.5}\right)}={P}{\left({7.5}{<}{x}{<}{n}+{0.5}\right)}$$
Thus, the area between 7.5 and $$\displaystyle{n}+{0.5}$$ under the appropriate normal curve would estimate the binomial probability $$\displaystyle{P}{\left({X}\geq{8}\right)}$$