Question

In: Statistics and Probability

I. Simulate a binomial random variable. Consider a class with 60 students, and the probability that...

I. Simulate a binomial random variable. Consider a class with 60 students, and the probability that a student does not turn in a homework is 0.10 (a “success”). Assume all students are independent of all other students, and the probability does not change.(a) Use sample to simulate drawing 60 students who either do, or do not, turn in their homework, and then find the total (out of 60) who did not turn in their homework. You should return one number,X= total # of students out of 60 who did not turn in their homework.

Solutions

Expert Solution

Using R

Following are the steps,

  1. Draw a random number from uniform distribution in the interval (0,1)
  2. If the random number is less than 0.10 ( a success), mark the student as did not turn in a homework , otherwise mark the student as did turn in the homework
  3. Do the steps 1 and 2, a total of 60 times
  4. Sum the number of students who did not turned in the home work. This is the value of X=total # of students out of 60 who did not turn in their homework.

R code with comments (all statements starting with # are comments

#get this output

X=4 in this first draw from Binomial distribution.

orchestra answered 1 year ago
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