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Chapter 4. Binomial distribution. An elementary school is planning to host a welcome party to start the 2021-22 school year to ensure that teachers and

Chapter 4. Binomial distribution. An elementary school is planning to host a "welcome" party to start the 2021-22 school year to ensure that teachers and all students have an opportunity to see each other, before schools start. They conduct a survey of 10 student families to see if they will attend the Party. Based on previous data, the school knows that about 45% of the students show up for school events that are planned prior to the official school starting date. The school is interested in finding out how many students to expect for the party.

  1. Fill in "True" or "False": The random variable X represents the total number of students from the school who are likely to attend the Party."
  2. How many of the 10 students do they expect to attend the party?
  3. The probability (in % terms) that at most three out of every ten students will attend is %. (round to two digits)
  4. The probability (in % terms) that more than six out of every ten students will attend is %. (round to two digits)
  5. The probability (in % terms) that exactly four out of every ten students will attend is %. (round to two digits)

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