Solve the problem. The breakdown of workers in a particular state according to t

Question

Solve the problem. The breakdown of workers in a particular state according to their political affiliation and type of job held is shown here. Suppose a worker is selected at random within the state and the political affiliation and type of job are noted. Given the worker is a Democrat, what is the probability that the worker is in a white collar job. 0.313 0.6 0.188 0.214 Solve the problem. Fill in the blank. The ______ of two events A and B is the event that either A or B or both occur. Solve the problem. Two companies, A and B, package and market a chemical substance and claim.15 of the total weight of the substance is sodium. However, a careful survey of 4,000 packages (half from each company) indicates the proportion varies around .15, with the results shown here. Find the percentage of all packages that had a sodium total weight proportion between .100 and .199. 35% 15% 70% 20%

Explanation / Answer

Q3.

According to conditional probability,

P(B|A) = P(A AND B) / P(A)

P(White collar | Democrat) = P (White Collar AND Democrat)/ P(Democrat)

Now P(Democrat)=Total Democrats/Total= 15/100 =0.15

P(White collar AND Democratic)= 0.09

P(W|D) = P(W AND D)/ P(D)

=0.09/0.150

=0.6

Therefore Probability of being a white collar given a democrat is 0.6 ie. 60%

Republican Democratic Independent Total White Collar 19% 9% 14% 42% Blue collar 13% 6% 39% 58% Total 32% 15% 53% 100%

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