Question1. Studies have shown that 74% of all primary school aged children… 1. Studies have shown that 74% of all primary school aged children will play an organized sport. If we randomly select 30 primary school aged children what is the probability that exactly 23 will play an organized sport?2. Of the 17 full time professors working in the Academic Studies division 11 of them are female. If we were to randomly select 3 of them to form a committee on student harassment, what is the probability that:a. They would all be female?b. Exactly one male would be chosen?c. At least one male would be chosen?3. Past studies have shown that the probability that a student will have a part-time job is 0.76 and the probability that they will play a team sport is 0.46 while the probability that they will have a part-time job and play a team sport is 0.28. If we randomly select a student, what is the probability they have a part-time job or play a team sport?4. There were 26 applications by Niagara College students to be a part of the Study Abroad program this term. If 5 of the applicants are randomly chosen, how many different sets of 5 students can be chosen?5.A study revealed that 70% of all “news” stories on the internet were false. If we randomly select 14 news stories from the internet, what is the probability that:a) exactly 10 were false?b) less than 7 were false?c) How many would you expect to be false?6. The College is going to give away prizes of $500, $300 and $100 to three randomly chosen students in Math1310. If there are 38 students in Math1310, how many different ways can the prizes be awarded?MathStatistics and Probability MATH MISC

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