Consider the radioactive decay problem of Example 7.3, and suppose that our counter registers an average of 107 decays/sec over a period of 30 seconds. (a) Use Eq. (7.14) to estimate the actual decay rate . (b) Generalize Eq. (7.13), using the central limit theorem. Calculate the range of normal variation (at the 95% level) for the observed decay rate Tn/n for an arbitrary value of the true decay rate . (c) Determine the range of for which the observed decay rate Tn/n = 107 is within the range of normal variation at the 95% level. How accurate is our estimate in part (a)