**Question:**When using the normal approximation with the continuity correction, to calculate $ P(58 < X \leq 62) $, which two numbers should you standardize to z-values?- [ ] 58.5 and 62.5- [ ] 57.5 and 62.5- [ ] 57.5 and 61.5- [x] 58.5 and 61.5- [ ] something else**Explanation:**The correct approach to solve this problem involves using a continuity correction when approximating a discrete distribution, like the binomial, with a continuous distribution, like the normal distribution.For the given probability range $ P(58 < X \leq 62) $:1. Adjust the lower limit using the continuity correction: $ 58 < X $ becomes $ X \geq 58.5 $.2. Adjust the upper limit already included $ X \leq 62 $ to $ X \leq 61.5 $.The numbers to standardize to z-values are therefore 58.5 and 61.5.

Here, we have to use the normal approximation with the continuity correction to calculateP( 58 <…

Answered: When using the normal approximation…

A First Course in Probability (10th Edition)

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Chapter1: Combinatorial Analysis

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When using the normal approximation with the continuity correction, to calculate P (58 < X < 62), which two numbers should you standardize to z-values? O 58.5 and 62.5 O 57.5 and 62.5 O 57.5 and 61.5 O 58.5 and 61.5 O something else