(a) Use the binomial distribution to nd the probability of exactly 10 successes. We are given that there are 16 trials and that the probability of success on a single trial is 0.60. Therefore, n = |:] and p = . We will use the Binomil Probability Distribution Table to find the probability of exactly 10 successes P(r = 10) for these values of n and p. A portion of this table is displayed below. p n r .30 .35 .40 .45 .50 .55 .60 .65 .70 16 0 .003 .001 .000 .000 .000 .000 .000 .000 .000 1 .023 .009 .003 .001 .000 .000 .000 .000 .000 2 .073 .035 .015 .006 .002 .001 .000 .000 .000 3 .146 .089 .047 .022 .009 .003 .001 .000 .000 4 .204 .155 .101 .057 .028 .011 .004 .001 .000 5 .210 .201 .162 .112 .067 .034 .014 .005 .001 6 .165 .198 .198 .168 .122 .075 .039 .017 .006 7 .101 .152 .189 .197 .175 .132 .084 .044 .019 8 .049 .092 .142 .181 .196 .181 .142 .092 .049 9 .019 .044 .084 .132 .175 .197 .189 .152 .101 10 .006 .017 .039 .075 .122 .168 .198 .198 .165 Reading from the table directly, P(r = 10) =