Question

When a coin is tossed 400 times, Head was received 220 times, find the probability of receiving Head.​

Answer 1

Answer:

$\frac{11}{20}$

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Answer 2

Answer:

Here is my thought process:

This is a binomial variable. We know that p=0.5. Therefore, the mean is 200 (n∗p), and the variance is equal to n∗p∗(1−p), meaning that variance is 100, and standard deviation is 10.

Therefore, would this mean the outcome of 400 flips conforms to N(200,100)--that is, a normal distribution with mean 200 and variance 100?

To solve this, would I then simple solve for P(X>=220), which yields 2.28%?