Applet Exercise Access the applet Normal Approximation to Binomial Distribution (at www

Chapter 7, Problem 7.64

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Applet Exercise Access the applet Normal Approximation to Binomial Distribution (at www. thomsonedu.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 Toggle Normal 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 Normal: P(0.5 <= k <= 8.5) = 0.2701. Why are the .5s in this expression?