Probability theory states that for the tosses of sets of 50 coins50 coins in Figure 4-1, the population mean μ = 25.00 μ = 25.00 and the population standard deviation = 3.54 deviation = 3.54
a. Use the Excel function NORM.DIST to calculate the fraction of tosses in Figure 4-1 expected to have greater than 3131 heads.
b. What fraction of coin tosses is expected to have between 1818 and 2222 heads?

Figure 4-1

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Number of times observed GI A 3 cu 0 T 1 20 tosses 10 26.60 S = 3.15 15 20 25 30 35 40 Number of heads when 50 coins tossed Number of times observed 45 40 35 30 25 15 10 5 0 F 400 tosses 10 x = 24.98 S = 3.71 15 20 25 30 35 40 Number of heads when 50 coins tossed (a) (b) Harris/Lucy, Quantitative Chemical Analysis, 10e,© 2020 W. H. Freeman and Company FIGURE 4-1 Bar graph and Gaussian curve describing the number of heads observed when sets of 5050 coins are tossed on a surface (a) 2020 times and (b) 400400 times. The smooth curve has the same mean, standard deviation, and area as the bar graph. The more measurements we make, the closer the results come to the smooth curve.