Chapter 5.1, Problem 5E

(a)

To determine

To find out what is your estimate for the probability of heads and explain why.

Answer to Problem 5E

The estimate for the probability of heads is $0.4$ .

Explanation of Solution

The estimate for the probability of heads can be calculated as:

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

The probability of heads is the amount of heads you have obtained on the spins divided by the number of spins performed is as follows:

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

Thus the estimate for the probability of headsis $0.4$ .

(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 spins. Thus by increasing the number of spins the estimate can get even better. The spins should be greater than $25$ spins to get the better estimate.