According to a survey,58%of adults are concerned that Social Security numbers are used for general identification. For a group of eight adults selected at random, we used Minitab to generate the binomial probability distribution and the cumulative binomial probability distribution (menu selectionsCalcProbability DistributionsBinomial)

Number

r 0 1 2 3 4 5 6 7 8

P(r) 0.000968 0.010697 0.051702 0.142797 0.246494 0.272318 0.188029 0.074188 0.012806

P(<=r) 0.00097 0.01167 0.06337 0.20616 0.45266 0.72498 0.91301 0.98719 1.00000

(a) Find the probability that out of eight adults selected at random, at most five are concerned about Social Security numbers being used for identification. Do the problem by adding the probabilitiesP(r= 0)throughP(r= 5).(Round your answer to three decimal places.) Is this the same as the cumulative probabilityP(r5)? YesNo (b) Find the probability that out of eight adults selected at random, more than five are concerned about Social Security numbers being used for identification. First, do the problem by adding probabilitiesP(r= 6)throughP(r= 8).(Round your answer to three decimal places.) Now do the problem by subtracting the cumulative probabilityP(r5)from 1. (Round your answer to three decimal places.) Do you get the same results? YesNo