Example 1: Suppose you flip a fair coin 20 times in the air and you record the number of "Tails" that you observe out of 20. Consider this scenario as you answer the following questions. 8-:12 d) What is the probability that you observe at most 7 "Tails" out of the 20 tosses? e) What is the probability that you observe at least 8 "Tails" out of the 20 tosses?

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Just question D and E
**Example 1:**
Suppose you flip a fair coin 20 times in the air and you record the number of "Tails" that you observe out of 20. Consider this scenario as you answer the following questions.

d) What is the probability that you observe at most 7 "Tails" out of the 20 tosses?  
\[ P(X \leq 7) = 0.0157 \]

e) What is the probability that you observe at least 8 "Tails" out of the 20 tosses?  

(Note: Please refer to standard binomial probability tables or calculations using binomial formulas for precise values beyond the provided detail.)

**Additional Note:**
This example guides you in understanding binomial probability distributions where you explore outcomes, such as the number of tails in multiple coin flips. These concepts can be applied to various probability scenarios.
Transcribed Image Text:**Example 1:** Suppose you flip a fair coin 20 times in the air and you record the number of "Tails" that you observe out of 20. Consider this scenario as you answer the following questions. d) What is the probability that you observe at most 7 "Tails" out of the 20 tosses? \[ P(X \leq 7) = 0.0157 \] e) What is the probability that you observe at least 8 "Tails" out of the 20 tosses? (Note: Please refer to standard binomial probability tables or calculations using binomial formulas for precise values beyond the provided detail.) **Additional Note:** This example guides you in understanding binomial probability distributions where you explore outcomes, such as the number of tails in multiple coin flips. These concepts can be applied to various probability scenarios.
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