Question

Convert the binomial probability to a normal distribution probability using continuity correction. P(x > 14).

Binomial probability
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asked 2021-01-13

Convert the binomial probability to a normal distribution probability using continuity correction. \(P(x > 14)\).

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2021-01-14

\(P(x > 14)\) Let a binomial random variable be denoted by x The probability that there are more than 14 successes of the event is denoted by \(P(x > 14)\) The possible discrete midpoint values for the given binomial distribution range from: \(15,\ 16,\ 17,\ \cdots, n – 2,\ n – 1,\ n.\) In order to convert these values to a continuous interval, we have to do a continuity correction and move 0.5 unit to either side of the discrete midpoint value to include all possible x values. Thus, the corresponding interval for the continuous normal distribution is \( x > 14.5/ P(x > 14.5)\)

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