Chapter 5.1, Problem 6E

(a)

To determine

To find out what is your estimate for the probability that the coin falls heads up and explain why.

Answer to Problem 6E

The estimate for the probability that the coin falls heads upis $0.4$ .

Explanation of Solution

The estimate for the probability that the coin falls heads up can be calculated as:

If you obtained $10$ heads out of $25$ repetitions.

The probability of heads is the amount of heads you have obtained on the repetitionsdivided by the number of repetitionsperformed is as follows:

  $\begin{array}{l}P(\text{heads})=\frac{10}{25}\\ =0.4\end{array}$

Thus the estimate for the probability that the coin falls heads upis $0.4$ .

(b)

To determine

To explain how could you get an even better estimate.

Explanation of Solution

Yes we can get even better estimate. You could get an even better estimate, by increasing the number of performed repetitions. Thus by increasing the number of repetitionsthe estimate can get even better. The repetitionsshould be greater than $25$ repetitionsto get the better estimate.