The probability of a head is 0.27. The coin is thrown 200 times. Write an estimate for the amount of tails

The estimate for the amount of tails is 146.

Step-by-step explanation:

For each throw, there are only two possible outcomes. Either it is a head, or it is tails. Throws are independent. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

The standard deviation of the binomial distribution is:

The probability of a head is 0.27.

This means that the probability of tails is

The coin is thrown 200 times.

This means that

Write an estimate for the amount of tails

This is the expected value, so:

The estimate for the amount of tails is 146.