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now use the binomial probability formular, calculate the probability of observint 4 heads in 10 coin flips. (1pt) is the estimated probability from exercise 1 close to the true proability? (1pt)

Sagot :

By using Binomial distribution of probability, it can be calculated that

Probability of getting 4 heads in 10 coin flips = [tex]\frac{105}{512}[/tex]

What is Binomial distribution of probability?

Binomial distribution of probability is a discrete probability distribution where the probability mass function is given by

P(X = x) = [tex]{n \choose x}p^xq^{n - x}[/tex]

Where p is the probability of success and q is the probability of failure.

Here, Binomial distribution of probability is used

n = 10

Probability of getting a head = [tex]\frac{1}{2}[/tex]

Probability of getting a tail = [tex]\frac{1}{2}[/tex]

Probability of getting 4 heads in 10 coin flips = [tex]{10 \choose 4}(\frac{1}{2})^4(\frac{1}{2})^{10 - 4}[/tex]

                                                                          = [tex]\frac{210}{1024}[/tex]

                                                                          = [tex]\frac{105}{512}[/tex]

To learn more about binomial distribution of probability, it can be calculated that

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