4. Major League Baseball conducts a survey to gauge fan opinion on a variety of issues. They determine that 72% of fans

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4 Major League Baseball Conducts A Survey To Gauge Fan Opinion On A Variety Of Issues They Determine That 72 Of Fans 1 (154.14 KiB) Viewed 51 times

4. Major League Baseball conducts a survey to gauge fan opinion on a variety of issues. They determine that 72% of fans disapprove pitchers using foreign substances to improve spin rate, and 40% of fans would like to see the designated hitter (DH) in both leagues. Also, out of the fans who would like the DH in both leagues, 64% are against pitchers using foreign substances to improve spin rate. (a) (6 points) If a fan is selected at random, what is the probability they disapprove of pitchers using foreign substances to improve spin rate and they would like the DH in both leagues? pllofs) = 0.79 CPCDH) = 0.40 po.rs nDH) = PRESIDH) *P/DH) PC FS | PH) = 0.64 0.64 & 0.40 0.256 PCfs n Dr) (b) (6 points) If a fan is selected at random, what is the probability they disapprove of pitchers using foreign substances to improve spin rate or they would like the DH in both leagues? PC ES UDH) = P(fs) + PCOM) - P(FSODH) 0.79 + 0.40 - 0.956 PCSODW) 0.864 (c) (6 points) If a fan is selected at random and found to be someone who disapproves of pitchers using foreign substances to improve spin rate, what is the probability they would like to see the DH in both leagues? PCDH) = 0.40 wart Pron/Fs) Pong (DH) COH) PCOH)= X