Problem 64E

Applet Exercise Access the applet Normal Approximation to Binomial Distribution (at academic.cengage.com/statistics/wackerly). When the applet is started, it displays the details in Example 7.11 and Figure 7.9. Initially, the display contains only the binomial histogram and the exact value (calculated using the binomial probability function) for p(8) = P(Y = 8). Scroll down a little and click the button “ToggleNormal Approximation” to overlay the normal density with mean 10 and standard deviation √ .6 = 2.449, the same mean and standard deviation as the binomial random variable Y. You will get a graph superior to the one in Figure 7.9.

a How many probability mass or density functions are displayed?

b Enter 0 in the box labeled “Begin” and press the enter key. What probabilities do you obtain?

c Refer to part (b). On the line where the approximating normal probability is displayed, you see the expression

Reference

AMS 206 Lecture 3 Classical and Frequentist Probability - Statistics is of course, the study of uncertainty. How we measure uncertainty, how we make decisions in the presence of it, and how we deal with uncertainty. - One more quantified way to deal with uncertainty is to consider probabilities. - One example of probability is rolling a fair six sided die and asking what the probability is that the die will show a four. o Other questions we could ask regarding the die are is the dice a fair die We could consider if it makes sense to ask what the probability is that the die is fair. - Another question we could ask is what is the probability that it rains tomorrow - When dealing with the internet, we can ask what