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02-07-2024
Mathematics

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Submit by 11:59 PM
Points: 100

A weighted coin has a probability of 0.647 of landing heads. What is the probability that it takes 5 flips for the first head to occur? (Round your answer to three decimal places if necessary.)

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Answer :

GinnyAnswer GinnyAnswer

02-07-2024

Final answer:

The probability that it takes 5 flips for the first head to occur on a weighted coin can be calculated using geometric distribution formula, resulting in a probability of 0.042.

Explanation:

The probability that it takes 5 flips for the first head to occur can be calculated using geometric distribution.

In this case, the probability of success (getting a head) is 0.647, and the probability of failure (getting a tail) is 1 - 0.647 = 0.353.

The probability that the first head occurs on the 5th flip is given by (0.353)^4 * 0.647 = 0.042 (rounded to three decimals).

Learn more about Probability and Geometric Distribution here:

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