Business Ethics: Privacy According to the same poll quoted in Problem 24, 53% of adults are concerned that Social Security numbers are used for general identifi cation. 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 selections ➤ Calc ➤ Probability Distributions ➤ Binomial).

Number r P(r) P( 5 r)
0 0.002381 0.00238 1 0.021481 0.02386 2 0.084781 0.10864 3 0.191208 0.29985 4 0.269521 0.56937 5 0.243143 0.81251 6 0.137091 0.94960 7 0.044169 0.99377 8 0.006226 1.00000 Find the probability that out of eight adults selected at random,

(a) at most five are concerned about Social Security numbers being used for identification. Do the problem by adding the probabilities P1r 5 02 through P1r 5 52.

Is this the same as the cumulative probability P1r  52?

(b) more than five are concerned about Social Security numbers being used for identification. First, do the problem by adding the probabilities P1r 5 62 through P1r 5 82.

Then do the problem by subtracting the cumulative probability P1r  52 from 1.

Do you get the same results?