need explanation, not only answers, thanks 3.69.6How do you prefer to get the news? Today, you havenumerous options for getting the news: print (via a news-paper or magazine), television (through local, network,or cable channels), the Internet (through websites, apps,or social media) or radio. A Pew Internet Research study(December 2018) asked a sample of Americans their pre-ferred mode of news consumption: watching, reading, orlistening. Then, within each mode, the survey asked for themost preferred platform: TV, online, radio, or print. Basedon the survey results, the following table of probabilitieswas constructed. Each probability represents the prob-ability of the preferred mode with the preferred platform(e.g., the probability of watching on TV or the probabilityof reading online).Platform ModeWatchReadListena. Verify that the probabilities in the table sum to 1.b. Find the probability that the preferred mode/platformfor getting the news is listening to the TV.TV.35.04.05c. Find the probability that the preferred mode/platformfor getting the news is reading online.Online Radio.10.01.21.03.03.10d. Find the probability that the preferred mode for gettingthe news is watching.e. Find the probability that the preferred platform for get-ting the news is online.ConditionMatchSimilarf. Given that the preferred mode is watching, what is theprobability that the preferred platform is TV?g. Given that the preferred platform is online, what is theprobability that the preferred mode is reading?Distracter685 Fingerprint expertise. A study published in PsychologicalScience (August 2011) tested the accuracy of experts andnovices in identifying fingerprints. Participants were pre-sentedpairs offingerprints and asked to judge whetherthe prints in each pair matched. The pairs were presentedunder three differentconditions: prints from the same in-dividual (match condition), nonmatching but similar prints(similar distracter condition), and nonmatching and verydissimilar prints (nonsimilar distracter condition). The per-centages of correct decisions made by the two groups un-der each of the three conditions are listed in the table.NonsimilarPrint.01.06.01DistracterFingerprintExperts92.12%99.32%100%Novices74.55%44.82%77.03%Source: Based on J. M. Tangen, M. B. Thompson, and D. J. McCarthy,"Identifying Fingerprint Expertise," Psychological Science, Vol. 22, No. 8,August 2011 (Figure 1).a. Given a pair of matched prints, what is the probabilitythat an expert failed to identify the match?b. Given a pair of matched prints, what is the probabilitythat a novice failed to identify the match?c. Assume the study included 10 participants, 5 expertsand 5 novices. Suppose that a pair of matched printswas presented to a randomly selected study participantand the participant failed to identify the match. Is theparticipant more likely to be an expert or a novice?2,75Websites for small businesses. Visual Objects, a portfoliowebsite, surveyed 529 small businesses about whether theyhave a website, why they have a website, and how theymaintain their website. The 2019 survey found that 317 smallbusinesses have a website, 117 currently have no website buthave plans to create one, and 95 have no website and haveno plans for one in the future. Of the 317 small businesseswith a website, 70 invested in the website in order to buildbrand awareness. Of the 212 small businesses without awebsite, 28 use social media for their web presence. One ofthe 529 small businesses is randomly selected, and its web-site status is determined. Define the following events.A = {The small business currently has a website}B = {The small business is currently without a website}C = {The small business invested in the website inorder to build brand awareness}D = {The small business is without a website, but usessocial media for their web presence}a. Find P(A).b. Find P(B).c. Find P(CIA).d. Find P(DB).e. Find P(ANB).f. Find P(BOD).NW1.88 Company credit card records. A bank officer is analyzingthe transactions of a company credit card, controlled bythree directors, director 1, 2 and 3. Of the transactions, 25%were made by director 1, 35% by director 2, and 40% bydirector 3. For i = 1, 2, 3, define E; to be the event thatthe bank officer randomly selects a transaction by directori. The following probabilities describe the proportions oftransactions in a foreign currency for directors 1, 2, and 3:P(foreign | E₁) = 0.02, P(foreign | E₂) = 0.05, andP(foreign E3) = 0.01.a. If a transaction in a foreign currency is analyzed by thebank officer, what is the probability that it was made bydirector 1?b. If a transaction in a foreign currency is analyzed by thebank officer, what is the probability t it wasdirector 2?byc. If a transaction in a foreign currency is analyzed by thebank officer, what is the probability that it was made bydirector 3?d. Based on the probabilities, parts a-c, which director'stransaction in a foreign currency is most likely beinganalyzed by the bank officer?

Question

need explanation, not only answers, thanks 3.69.6How do you prefer to get the news? Today, you havenumerous options for getting the news: print (via a news-paper or magazine), television (through local, network,or cable channels), the Internet (through websites, apps,or social media) or radio. A Pew Internet Research study(December 2018) asked a sample of Americans their pre-ferred mode of news consumption: watching, reading, orlistening. Then, within each mode, the survey asked for themost preferred platform: TV, online, radio, or print. Basedon the survey results, the following table of probabilitieswas constructed. Each probability represents the prob-ability of the preferred mode with the preferred platform(e.g., the probability of watching on TV or the probabilityof reading online).Platform ModeWatchReadListena. Verify that the probabilities in the table sum to 1.b. Find the probability that the preferred mode/platformfor getting the news is listening to the TV.TV.35.04.05c. Find the probability that the preferred mode/platformfor getting the news is reading online.Online Radio.10.01.21.03.03.10d. Find the probability that the preferred mode for gettingthe news is watching.e. Find the probability that the preferred platform for get-ting the news is online.ConditionMatchSimilarf. Given that the preferred mode is watching, what is theprobability that the preferred platform is TV?g. Given that the preferred platform is online, what is theprobability that the preferred mode is reading?Distracter685 Fingerprint expertise. A study published in PsychologicalScience (August 2011) tested the accuracy of experts andnovices in identifying fingerprints. Participants were pre-sentedpairs offingerprints and asked to judge whetherthe prints in each pair matched. The pairs were presentedunder three differentconditions: prints from the same in-dividual (match condition), nonmatching but similar prints(similar distracter condition), and nonmatching and verydissimilar prints (nonsimilar distracter condition). The per-centages of correct decisions made by the two groups un-der each of the three conditions are listed in the table.NonsimilarPrint.01.06.01DistracterFingerprintExperts92.12%99.32%100%Novices74.55%44.82%77.03%Source: Based on J. M. Tangen, M. B. Thompson, and D. J. McCarthy,&#34;Identifying Fingerprint Expertise,&#34; Psychological Science, Vol. 22, No. 8,August 2011 (Figure 1).a. Given a pair of matched prints, what is the probabilitythat an expert failed to identify the match?b. Given a pair of matched prints, what is the probabilitythat a novice failed to identify the match?c. Assume the study included 10 participants, 5 expertsand 5 novices. Suppose that a pair of matched printswas presented to a randomly selected study participantand the participant failed to identify the match. Is theparticipant more likely to be an expert or a novice?2,75Websites for small businesses. Visual Objects, a portfoliowebsite, surveyed 529 small businesses about whether theyhave a website, why they have a website, and how theymaintain their website. The 2019 survey found that 317 smallbusinesses have a website, 117 currently have no website buthave plans to create one, and 95 have no website and haveno plans for one in the future. Of the 317 small businesseswith a website, 70 invested in the website in order to buildbrand awareness. Of the 212 small businesses without awebsite, 28 use social media for their web presence. One ofthe 529 small businesses is randomly selected, and its web-site status is determined. Define the following events.A = {The small business currently has a website}B = {The small business is currently without a website}C = {The small business invested in the website inorder to build brand awareness}D = {The small business is without a website, but usessocial media for their web presence}a. Find P(A).b. Find P(B).c. Find P(CIA).d. Find P(DB).e. Find P(ANB).f. Find P(BOD).NW1.88 Company credit card records. A bank officer is analyzingthe transactions of a company credit card, controlled bythree directors, director 1, 2 and 3. Of the transactions, 25%were made by director 1, 35% by director 2, and 40% bydirector 3. For i = 1, 2, 3, define E; to be the event thatthe bank officer randomly selects a transaction by directori. The following probabilities describe the proportions oftransactions in a foreign currency for directors 1, 2, and 3:P(foreign | E₁) = 0.02, P(foreign | E₂) = 0.05, andP(foreign E3) = 0.01.a. If a transaction in a foreign currency is analyzed by thebank officer, what is the probability that it was made bydirector 1?b. If a transaction in a foreign currency is analyzed by thebank officer, what is the probability t it wasdirector 2?byc. If a transaction in a foreign currency is analyzed by thebank officer, what is the probability that it was made bydirector 3?d. Based on the probabilities, parts a-c, which director'stransaction in a foreign currency is most likely beinganalyzed by the bank officer?

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