Question

Convert the binomial probability to a normal distribution probability using continuity correction. P (54 < x < 64).

Binomial probability
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asked 2020-12-09
Convert the binomial probability to a normal distribution probability using continuity correction. P (54 < x < 64).

Answers (1)

2020-12-10
P (54 < x < 64) There are successes between 54 and 64 (both not inclusive). It is denoted as P(54 < x < 64) The possible discrete midpoint values for the given binomial distribution range from 55, 56, …, 62, 63. To convert the discrete values to a continuous interval, we need to do a continuity correction and to move 0.5 unit to either side of the discrete midpoint value to include all possible x values. Thus, the corresponding interval for normal distribution probability is 54.5 < x < 63.5.
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