Suppose X is a discrete random variable with a binomial distribution with n = 8 and p = 0.2. Suppose we want to find P(X = 3) using the binomial formula.  How many different combinations are there of having 3 successes in 8 trials?  Fill in the blanks of the binomial formula with correct values. (Hint: where does your answer to the previous question go?) Round the probability to four decimal places.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.3: Binomial Probability
Problem 2E: If a binomial experiment has probability p success, then the probability of failure is...
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Suppose X is a discrete random variable with a binomial distribution with n = 8 and p = 0.2. Suppose we want to find P(X = 3) using the binomial formula. 

  1. How many different combinations are there of having 3 successes in 8 trials? 
  2. Fill in the blanks of the binomial formula with correct values. (Hint: where does your answer to the previous question go?) Round the probability to four decimal places.

Note: In the formula below, the third fill-in-the blank is an exponent. Likewise, the two fill-in-the-blanks immediately to the left of the equal sign are also exponents.

 

           P(X = 3) =  () * () * (1 – ) - =

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