Question

Purchase likelihood 18 dash 34 35 dash 44 45 dash 54 55 plus Total More likely 223 373 384 404 1384 Less likely 26 7 26 13 72 Neither more nor less likely 285 210 169 113 777 Total 534 590 579 530 2233 ​(a) What is the probability that a randomly selected individual is 35 to 44 years of​ age, given the individual is neither more nor less likely to buy a product emphasized as​ "Made in our​ country"? The probability is approximately 0.270 0.270. ​(Round to three decimal places as​ needed.) ​(b) What is the probability that a randomly selected individual is neither more nor less likely to buy a product emphasized as​ "Made in our​ country," given the individual is 35 to 44 years of​ age? The probability is approximately nothing. ​(Round to three decimal places as​ needed.)

Answer 1

(a) 0.270 . . . . as you know

(b) 0.356

Explanation:

(a) p(35-44 | neither) = (35-44 & neither)/(neither total) = 210/777 ≈ 0.270

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(b) p(neither | 35-44) = (neither & 35-44)/(35-44 total) = 210/590 ≈ 0.356