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14. Basic Computation: Binomial Distribution Consider a binomial experi- ment with n = 6 trials where the probability of success on a single trial is p = 0.20. (a) Find P(0 < r ≤2). (b) Interpretation If you conducted the experiment and got 1 or 2 suc- cesses, would you be surprised? Why?

14. Basic Computation: Binomial Distribution Consider a binomial experi- ment with n = 6 trials where the probability of success on a single trial is p = 0.20. (a) Find P(0 < r ≤2). (b) Interpretation If you conducted the experiment and got 1 or 2 suc- cesses, would you be surprised? Why?

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 59E
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Please answer number 14. Make sure to show work!! Thanks! 

### Basic Computation: Binomial Distribution Consider a binomial experiment with \( n = 6 \) trials where the probability of success on a single trial is \( p = 0.20 \). #### (a) Find \( P(0 < r \leq 2) \). #### (b) Interpretation If you conducted the experiment and got 1 or 2 successes, would you be surprised? Why? **Explanation:** For part (a), you are required to calculate the probability that the number of successes \( r \) in 6 trials is between 1 and 2 (inclusive). For part (b), you need to analyze the result and provide a reasoning on whether 1 or 2 successes in this binomial experiment would be surprising or not, based on the calculated probability.
Transcribed Image Text:### Basic Computation: Binomial Distribution Consider a binomial experiment with \( n = 6 \) trials where the probability of success on a single trial is \( p = 0.20 \). #### (a) Find \( P(0 < r \leq 2) \). #### (b) Interpretation If you conducted the experiment and got 1 or 2 successes, would you be surprised? Why? **Explanation:** For part (a), you are required to calculate the probability that the number of successes \( r \) in 6 trials is between 1 and 2 (inclusive). For part (b), you need to analyze the result and provide a reasoning on whether 1 or 2 successes in this binomial experiment would be surprising or not, based on the calculated probability.
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