Question: please solve these two problems for me, thanks! Lesson 5 Binomial Experiments . A complicated mechanical system contains 8 components. If there is a 18%

please solve these two problems for me, thanks!

Lesson 5 Binomial Experiments . A complicated mechanical system contains 8 components. If there is a 18% chance that each component will fail during processing, and components fail independently of each other7 then (a) What is the probability that fewer than 3 components will fail? (b) What is the most likely number of failures? (0) What is the probability at least one component fails? . There are 16,408 students on campus at UCSB and 385 of them are statistics majors. Suppose that we choose 10 students randomly from the campus so that each choice was independent of the others and every student was equally likely to be chosen. (a) What is the probability that the third student chosen is a statistics major? (b) What is the probability that exactly one of those ten students is a Statistics major

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