A group of players is playing a game involving a special set of dice. A success on a single roll has a probability of 35.5%.  An experiment is conducted by performing this roll 24 times and counting the number of successes. Is the normal approximation to the binomial theorem appropriate for this experiment?  Regardless of your answer to part a, use the normal approximation to the binomial theorem to find the probability of getting more than 10 and fewer than 15 successes in 24 rolls.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
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A group of players is playing a game involving a special set of dice. A success on a single roll has a probability of 35.5%. 

  1. An experiment is conducted by performing this roll 24 times and counting the number of successes. Is the normal approximation to the binomial theorem appropriate for this experiment? 
  2. Regardless of your answer to part a, use the normal approximation to the binomial theorem to find the probability of getting more than 10 and fewer than 15 successes in 24 rolls. 
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