Chapter 5 Section 2 Please answer all questions According to a survey, 68% of ad

Question

Chapter 5 Section 2

Please answer all questions

According to a survey, 68% 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 selections Calc Probability Distributions Binomial). (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 probabilities P(r = 0) through P(r = 5). (Round your answer to three decimal places.) Is this the same as the cumulative probability P(r

Explanation / Answer

a)

P(0) + P(1) + P(2) + P(3) + P(4) + P(5)

= 0.000110 + 0.001869 + 0.013902 + 0.059083 + 0.156940 + 0.266798 = 0.498702

= 0.499 [ANSWER]

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YES, it is the same, as in the table, P(r<=5) = 0.49870 = 0.499 [ANSWER]

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b)

P(6) +P(7) + P(8)

= 0.283473 + 0.172109 + 0.045716

= 0.501298

= 0.501 [ANSWER]

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Now,

1 - P(r<=5) = 1 - 0.49870

= 0.501 [ANSWER]

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YES, THEY ARE THE SAME. [ANSWER]

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