According to a survey, 61% 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 (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 ≤ 5)? (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 probabilities P(r = 6) through P(r = 8). (Round your answer to three decimal places.) Now do the problem by subtracting the cumulative probability P(r ≤ 5) from 1. (Round your answer to three decimal places.) Do you get the same results?
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
According to a survey, 61% 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
(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 ≤ 5)?
(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 probabilities P(r = 6) through P(r = 8). (Round your answer to three decimal places.)
Now do the problem by subtracting the cumulative probability P(r ≤ 5) from 1. (Round your answer to three decimal places.)
Do you get the same results?
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