To match: The binomial probability statement with its corresponding normal

Isa Trevino 2021-10-02 Answered
To match: The binomial probability statement with its corresponding normal distribution probability statement (a)-(d) after a continuity correction.

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Expert Answer

dieseisB
Answered 2021-10-03 Author has 3175 answers
Reason for the correct answer:
Here, the binomial random variable x is more than 109.
By using continuity correction, the value 0.5 is added to the value of 109.
That is, \(\displaystyle{c}={109}\)
\(\displaystyle{P}{\left({x}{>}{109}\right)}={P}{\left({x}{>}{109}+{0.5}\right)}\)
\(\displaystyle={P}{\left({x}{>}{109.5}\right)}\)
Thus, the binomial probability statement corresponding to the normal distribution probability statement is \(\displaystyle{P}{\left({x}{>}{109.5}\right)}\).
Reason for the incorrect answer:
Option (b), option (c) and option (d) are incorrect, because the binomial probability statement corresponding to the normal distribution probability statement is \(\displaystyle{P}{\left({x}{>}{109.5}\right)}\)
Conclusion:
Therefore, the correct option is (a).
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