SOLUTION: 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

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Question 1187526: 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.
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.”
How many of the 12 students do they expect to attend the party?
The probability (in % terms) that at most three out of every ten students will attend is
%. (round to two digits)
The probability (in % terms) that more than six out of every ten students will attend is
%. (round to two digits)
The probability (in % terms) that exactly four out of every ten students will attend is
%. (round to two digits)

Answer by ikleyn(52824) About Me  (Show Source):
You can put this solution on YOUR website!
.

It is much easier to do than you think.


Go to online  (free of charge)  binomial distribution probability calculator

https://stattrek.com/online-calculator/binomial.aspx


Input the given parameters of each part into the input port of the calculator and get the answers
to your questions in seconds.


The calculator has perfect description and design,  so  EVERY  person,  even beginner,  may work with it on his or her own,
even having minimum knowledge on the subject.


Happy calculations  ( ! )


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//   I am not a promoter of this online calculator:  my only wish is to teach you to do this simple job on your own,
       because the level of complexity of this assignment is as   1 + 2 = 3     (even lower than   2 x 2 = 4).


       Playing with this tool,  you will gain all missing knowledge on the subject,  which you need.


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If you want to see many similar  (or different)  solved problems,  look into the lessons
    - Simple and simplest probability problems on Binomial distribution
    - Typical binomial distribution probability problems
    - How to calculate Binomial probabilities with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using MS Excel)
    - Solving problems on Binomial distribution with Technology (using online solver)
in this site.

After reading these lessons,  you will be able to solve such problems on your own,
which is your  PRIMARY  MAJOR  GOAL  visiting this forum  (I believe).