**Probability Exercise with a Weighted Coin**1. A trick coin has been weighted so that the probability of heads is 0.8 and the probability of tails is 0.2.2. If you toss the coin 100 times, how many heads would you expect on average?3. What is the probability of obtaining more than 95 heads in 100 tosses? - p = _______4. What is the probability of obtaining fewer than 95 heads in 100 tosses? - p = _______5. What is the probability of obtaining exactly 95 heads in 100 tosses? - p = _______Additional Notes: - The exercise requires calculating probabilities using a binomial distribution. - The value of p is given at one point as 64.43%, likely in reference to the specific context of a provided example.- It is crucial to apply the appropriate statistical methods to fill in the blanks for the probabilities.

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A trick coin has been weighted so that the probability of heads is 0.8 and the probability of tails is 0.2. 4. If you toss the coin 100 times how many heads would you expect on the average? 5. What is the probability of obtaining more than 95 heads in 100 tosses? What is the probability of obtaining fewer than 6. 95 heads in 100 tosses? %3D 7. What is the probability of obtaining exactly 95 heads in 100 tosses?

A trick coin has been weighted so that the probability of heads is 0.8 and the probability of tails is 0.2. 4. If you toss the coin 100 times how many heads would you expect on the average? 5. What is the probability of obtaining more than 95 heads in 100 tosses? What is the probability of obtaining fewer than 6. 95 heads in 100 tosses? %3D 7. What is the probability of obtaining exactly 95 heads in 100 tosses?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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Concept explainers

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.

Question

**Probability Exercise with a Weighted Coin**

1. A trick coin has been weighted so that the probability of heads is 0.8 and the probability of tails is 0.2.

2. If you toss the coin 100 times, how many heads would you expect on average?

3. What is the probability of obtaining more than 95 heads in 100 tosses?
- p = _______

4. What is the probability of obtaining fewer than 95 heads in 100 tosses?
- p = _______

5. What is the probability of obtaining exactly 95 heads in 100 tosses?
- p = _______

Additional Notes:

- The exercise requires calculating probabilities using a binomial distribution.
- The value of p is given at one point as 64.43%, likely in reference to the specific context of a provided example.
- It is crucial to apply the appropriate statistical methods to fill in the blanks for the probabilities.

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