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1. For a binomial experiment in which success is defined to be a particular quality or attribute that interests us, with n=36 and p as 0.23,  we can approximate p hat by a normal distribution.

   Since n=36 , p=0.23 , thus q= 1-p = 1-0.23=0.77

   therefore,

   n*p= 36*0.23 =8.28>5

   n*q = 36*0.77=27.22>5

   and therefore, p hat can be approximated by a normal random variable, because n*p>5 and n*q>5.

   The question is incomplete, a possible complete question is:

   Suppose we have a binomial experiment in which success is defined to be a particular quality or attribute that interests us.

   Suppose n = 36 and p = 0.23. Can we approximate p hat by a normal distribution? Why? (Use 2 decimal places.)

   n*p = ?

   n*q = ?

   Learn to know more about binomial experiments at

   https://brainly.com/question/1580153

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