Fifty-five percent of consumers prefer to purchase electronics online. You randomly select 8 consumers. Find the probability that the number of consumers who prefer to purchase electronics online is​ (a) exactly​ five, (b) more than​ five, and​ (c) at most five.

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Fifty-five

percent of consumers prefer to purchase electronics online. You randomly select

8

consumers. Find the probability that the number of consumers who prefer to purchase electronics online is​ (a) exactly​ five, (b) more than​ five, and​ (c) at most five.

Expert Solution
Step 1
  • Binomial Distribution :

The binomial distribution is a discrete probability distribution with two parameters, n and p. It is a generalization of the Bernoulli distribution. The probability mass function of the binomial distribution is used to get the required probabilities. 

The  binomial probability formula with the binomial coefficient is : 

Statistics homework question answer, step 1, image 1

where n is the number of trials, p is the probability of success on a single trial, and X is the number of successes.   

 

 

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