Even if you answer this, it won't tell you the answer to the question in the thread title. Are you sure you gave us all the information?phono said:My textbook says that 96% of the time, the number of heads in 20 flips will be between 6 and 14 inclusive. How do I prove this?
Heads occurs 15 times out of 20 - Is it a fair coin?
No, based on the given information, there is a high likelihood that the coin is fair. Heads occurring 15 times out of 20 is within the expected range for a fair coin.
The probability of getting heads is 15/20 or 0.75. This means that there is a 75% chance of getting heads when flipping this coin.
To determine if the coin is fair, you should ideally flip it a large number of times, such as 100 or more. The more times you flip it, the more reliable your results will be.
Yes, it is possible for this result to occur by chance. While the expected number of heads for a fair coin is 10 out of 20, there is always a possibility of getting slightly more or less heads due to random chance.
Other factors that could affect the results of flipping a coin include the weight distribution of the coin, the force used to flip it, and any external factors such as wind or surface texture. These factors can all contribute to the coin landing on one side more frequently than the other.