Question

The probability of a head is 0.27. The coin is thrown 200 times. Write an

Answer 1

Answer:

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:

$E(X) = np$

The standard deviation of the binomial distribution is:

$\sqrt{V(X)} = \sqrt{np(1-p)}$

The probability of a head is 0.27.

This means that the probability of tails is $p = 1 - 0.27 = 0.73$

The coin is thrown 200 times.

This means that $n = 200$

Write an estimate for the amount of tails

This is the expected value, so:

$E(X) = np = 200*0.73 = 146$

The estimate for the amount of tails is 146.