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please answer this question Summer 202l h'lid I] 1) While conducting nerketresearch in a particular city, it was observed that during a week, 12% of

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Summer 202l h'lid I] 1) While conducting nerketresearch in a particular city, it was observed that during a week, 12% of all adults watch a television program oriented to business and nancial issues, 1896 read a publication oriented to these issues. and 10% do both. What is the probability that an adult in this city who watches a television [Ingram oriented to business and nancial issues reads a publication oriented to these issues? Are the events dependent? 2) For a research assistant position, I interview 6 male students and 5 female students. Two of the applicants are selected after reviewing the resumes. The following table shows the probability distribution function of X which denotes the number of women in the interview pool. x D l 2 P00 0. 19 0.45 0.35 find the expected meter of female students and the variance in the interview pool. 3) Every morning Sheldon pesters his friends to give him a lift to work. The probability that he will get a lift is 0.7. Considering a working week of 5 days. what is the probability that Sheldon will get exactly 3 lifts? How many lifts will he get on average? 4] An online clothing boutique is frustrated about occasionally losing parcels. Their review section in social media platforms have been ooded with negative reviews sabotaging their reputation. The boutique has found that it can limit the number of parcels lost each weekday using a Poisson distribution with a mean of 2.2 parcels. a) What is the probability that the boutique will lose at least 2 parcels on Thursday? b) What is the probability that the cargo will lose between 3 to 5 parcels (inclusive) on Monday? 5) A publisher sends advertising materials for an economics course to 70% of all the lecturers teaching appropriate economics courses at NSU. 20% of the lecturers who received this material adopted the book, as did 5% of the lecturers who did not receive the nmterial. What is the probability that a lecturer who adopts the book has received the advertising material

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