Просмотр Файл Правка Вид Переход Инструменты OKHO Справка Midterm_Fall_19_ver2.pdf Страница 2 из 4 If a cyclist uses dop

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Просмотр Файл Правка Вид Переход Инструменты OKHO Справка Midterm_Fall_19_ver2.pdf Страница 2 из 4 If a cyclist uses doping, then Anti-Doping Agency detects it with probability p € (1/2, 1), and does not detect it with probability 1 - p. Moreover, the doping test never result in false positives. Out of 100 competing cyclists, 80 use doping. ♡ (1 point) The Agency tests each cyclist. What is the probability that exactly 50 cyclists will test positive? (59)p$'(1 - p)30 - (69)p#0 (1 - p)50 (180p50 (1 - p)50 (100) p80 (1 - p)20 None of the above is correct. ♡ (1 point) The Agency tests each cyclist. How many cyclists on average will test positive? 80p 80(1-P)p 100p - 100(1-P) None of the above is correct. ♡ (1 point) Suppose p = 0.5 and Sergei tested negative. What is the probability that Sergei uses doping? - 1 - 2/3 - 1/2 1/3 None of the above is correct. ♡ (2 points) Suppose Sergei tested negative twice in a row. What is the probability that Sergei uses doping? 1 2/3 - 1/2 - 1/3 None of the above is correct. ♡ (1 point) Suppose p = 0.5 and Sergei uses doping. Each time he competes, he is tested. In how many competitions will Sergei take part on average before being caught? 1 2 3 - None of the above is correct.